The ultra-lightweight and multifunction integrated thermal protection materials are critical for the de-velopment of hypersonic vehicles.Although various materials have been developed as potential thermal protection m...The ultra-lightweight and multifunction integrated thermal protection materials are critical for the de-velopment of hypersonic vehicles.Although various materials have been developed as potential thermal protection materials,most of them generally present a singular function.It is still challenging to meet the multifunctional requirements of ultra-lightweight,thermal insulation,electromagnetic interference(EMI)shielding,and high-temperature ablation resistance.Herein,a gradient C_(f)/(CrZrHfNbTa)C-SiC composite is designed and fabricated based on the bionic strategy of capillary adsorption and transport.The devel-oped gradient C_(f)/(CrZrHfNbTa)C-SiC composite is as light as 0.74 g/cm^(3),which shows excellent ablation resistance(-3.88μm/s at 2000℃).It also presents competitive thermal insulation performance with a back temperature below 152℃while enduring 1300℃on the front side.The thermal conductivity of the gradient composite is 0.202 W mr^(-1) K^(-1).Furthermore,the gradient C_(f)/(CrZrHfNbTa)C-SiC composite offers remarkable EMI shielding performance with mean total EMI shielding efficiency(SE_(T))larger than 45 dB in an ultra-wide frequency range of 0-100 GHz.The excellent multifunctional performance with ultra-lightweight makes the gradient C_(f)/(CrZrHfNbTa)C-SiC composite ideal thermal protection materials for hypersonic vehicles.This work provides a flexible strategy for constructing gradient composites for multifunctional applications.展开更多
In this paper, we deal with the existence and multiplicity of solutions to the frac- tional elliptic problems involving critical and supercritical Sobolev exponent via variational arguments. By means of the truncation...In this paper, we deal with the existence and multiplicity of solutions to the frac- tional elliptic problems involving critical and supercritical Sobolev exponent via variational arguments. By means of the truncation combining with the Moser iteration, we prove that our problem has at least three solutions.展开更多
Integrating two different catalytic active sites into one composite is a useful 2-in-1 strategy for designing high-efficient bifunctional catalysts,which can easily tailor the activity of each reaction.Hence,we adopt ...Integrating two different catalytic active sites into one composite is a useful 2-in-1 strategy for designing high-efficient bifunctional catalysts,which can easily tailor the activity of each reaction.Hence,we adopt the 2-in-1 strategy to design the metal oxyhydroxide supported on N-doped porous carbons(PA-CoFe@NPC)as the oxygen bifunctional catalyst,where NPC provides the activity for oxygen reduction reaction(ORR)while the metal oxyhydroxide is responsible for oxygen evolution reaction(OER).Results demonstrate that the PA-CoFe@NPC indeed exhibits both super ORR and OER activities.Impressively,using bifunctional PA-CoFe@NPC as the oxygen electrode,the resulting Zn-air battery exhibits outstanding charge and discharge performance with the peak power density of 156.3 mW cm^(-2),and also exhibits a long-term cycle stability with continuous cyclic charge and discharge of 170 hours that is obviously better than the 20%Pt/C+IrO_(2)based one.The 2-in-1 strategy in this work can be efficiently extended to design other bi-or multi-functional electrocatalysts.展开更多
Archroma,a global leader in specialty chemicals focused on sustainable solutions,is excited to announce its debut participation in Denimsandjeans Egypt,taking place on January 19–20,2026 at the InterContinental Citys...Archroma,a global leader in specialty chemicals focused on sustainable solutions,is excited to announce its debut participation in Denimsandjeans Egypt,taking place on January 19–20,2026 at the InterContinental Citystars Cairo.In its first year at the show,Archroma will showcase its low-impact denim solutions,designed to help brands and mills advance sustainability without compromising aesthetics,quality or performance.“With Egypt emerging as a strategic denim sourcing market,there is a clear opportunity to accelerate more sustainable production.Archroma’s innovations are designed to support this growth with scalable,low impact solutions,”commented Dhirendra Gautam,Vice President,Commercial,Archroma.展开更多
Generalised reduced masses with a set of equations governing the three relative motions between two of 3-bodies in their gravitational field are established,of which the dynamic characteristics of 3-body dynamics,fund...Generalised reduced masses with a set of equations governing the three relative motions between two of 3-bodies in their gravitational field are established,of which the dynamic characteristics of 3-body dynamics,fundamental bases of this paper,are revealed.Based on these findings,an equivalent system is developed,which is a 2-body system with its total mass,constant angular momentum,kinetic and potential energies same as the total ones of three relative motions,so that it can be solved using the well-known theory of the 2-body system.From the solution of an equivalent system with the revealed characteristics of three relative motions,the general theoretical solutions of the 3-body system are obtained in the curve-integration forms along the orbits in the imaged radial motion space.The possible periodical orbits with generalised Kepler’s law are presented.Following the description and mathematical demonstrations of the proposed methods,the examples including Euler’s/Lagrange’s problems,and a reported numerical one are solved to validate the proposed methods.The methods derived from the 3-body system are extended to N-body problems.展开更多
In order to more accurately and effectively consider the propagation process of solitons in electromagnetic pulse waves and make full use of wavelength division multiplexing,we study a class of high-order three-compon...In order to more accurately and effectively consider the propagation process of solitons in electromagnetic pulse waves and make full use of wavelength division multiplexing,we study a class of high-order three-component Hirota equations by the Riemann-Hilbert method.Under zero boundary conditions and given initial conditions q_(j)(x,0),the N-soliton solutions of the equations are obtained by constructing and solving Riemann-Hilbert problems based on matrix spectral problem.Specifically,we discuss the cases of N=1,2,analyze the dynamical properties of 1-soliton and 2-soliton solutions through numerical simulations,and summarize the effect of integrable perturbations and spectral parameters on soliton motion.展开更多
In this article,a three-dimensional cooperative guidance problem for highly maneuvering targets is investigated under the assumption of perfect information.Inspired by the coverage strategy,the cooperative guidance pr...In this article,a three-dimensional cooperative guidance problem for highly maneuvering targets is investigated under the assumption of perfect information.Inspired by the coverage strategy,the cooperative guidance problem is decomposed into one-on-one guidance problems against predictive interception points.To expand the coverage area of each missile,these one-on-one guidance problems are formulated as flight path angle tracking problems,and the optimal error dynamics is extended to derive the guidance law analytically.In addition,through the introduction of the coverage probability model,the dynamic coverage strategy is proposed.The predictive interception points are updated online by maximizing the coverage probability,which aims to achieve successful interception despite variations in target acceleration.Furthermore,a switching strategy of the guidance command is designed for collision avoidance.Simulation results demonstrate that the missile group can cooperatively intercept a highly maneuvering target under the proposed guidance law.展开更多
On a compact Riemann surface with finite punctures P_(1),…P_(k),we define toric curves as multivalued,totallyunramified holomorphic maps to P^(n)with monodromy in a maximal torus of PSU(n+1).Toric solutions to SU(n+1...On a compact Riemann surface with finite punctures P_(1),…P_(k),we define toric curves as multivalued,totallyunramified holomorphic maps to P^(n)with monodromy in a maximal torus of PSU(n+1).Toric solutions to SU(n+1)Todasystems on X\{P_(1);…;P_(k)}are recognized by the associated toric curves in.We introduce character n-ensembles as-tuples of meromorphic one-forms with simple poles and purely imaginary periods,generating toric curves on minus finitelymany points.On X,we establish a correspondence between character-ensembles and toric solutions to the SU(n+1)system with finitely many cone singularities.Our approach not only broadens seminal solutions with two conesingularities on the Riemann sphere,as classified by Jost-Wang(Int.Math.Res.Not.,2002,(6):277-290)andLin-Wei-Ye(Invent.Math.,2012,190(1):169-207),but also advances beyond the limits of Lin-Yang-Zhong’s existencetheorems(J.Differential Geom.,2020,114(2):337-391)by introducing a new solution class.展开更多
In this work,we demonstrate that the existence of an Z-shaped connected component within the set of positive solutions for the one-dimensional prescribed mean curvature equation in Minkowski space■with boundary condi...In this work,we demonstrate that the existence of an Z-shaped connected component within the set of positive solutions for the one-dimensional prescribed mean curvature equation in Minkowski space■with boundary conditions having parameter in two cases f(O)=0 and f(0)>0 by using upper and lower solution method,where λ>0 is a parameter,f∈C^(2)([0,∞),R)is monotonically increasing and lim_(μ→1)^(f(u)/1-u=0,h∈C^(1)([0,1],(0,∞))is a nonincreasing function and h(t)>1.展开更多
The investigation centers on a generalized Toda lattice equation featuring four potentials.Initially,the continuous counterpart is first established using the continuous limit approach.Subsequently,leveraging its 3...The investigation centers on a generalized Toda lattice equation featuring four potentials.Initially,the continuous counterpart is first established using the continuous limit approach.Subsequently,leveraging its 3×3 matrix spectrum problem,the discrete generalized(m,3N-m)-fold Darboux transformation(DT)is formulated for this discrete system.Finally,the derived generalized DT is employed to generate precise rational solutions and hybrid rational-exponential solutions,which are thoroughly analyzed and graphically illustrated.These novel findings may offer insights into the lattice dynamical phenomena described by Toda lattice equation.展开更多
We propose a dual-layer network model that integrates social and familial contexts,consisting of a social interaction layer and a family relationship layer.We design a reputation-based incentive mechanism incorporatin...We propose a dual-layer network model that integrates social and familial contexts,consisting of a social interaction layer and a family relationship layer.We design a reputation-based incentive mechanism incorporating strategy persistenceconsistency to investigate how reputation fosters cooperation.The model features the following aspects:(1)a dynamic disconnection-reconnection mechanism in the social layer,(2)a reputation-enhanced Fermi rule in the family layer,and(3)a refined partitioning of the family network.Simulation results indicate that the disconnection-reconnection parameter(σ)significantly enhances cooperation in the social network;the strategic persistence-consistency influencing factor(α)has a positive impact on cooperation in both layers;and moderately dividing the family network promotes the emergence of cooperation.The research findings facilitate group cooperation in complex networks and offer valuable insights for addressing social dilemmas in the real world.展开更多
The main purpose of this paper is to try to find all entire solutions of the Fermat type difference-differential equation[p1(z)f(z+c)]^(2)+[p2(z)f(z)+p3(z)f′(z)]^(2)=p(z);or[p1(z)f(z)]^(2)+[p2(z)f′(z)+p3(z)f(z+c)]^(...The main purpose of this paper is to try to find all entire solutions of the Fermat type difference-differential equation[p1(z)f(z+c)]^(2)+[p2(z)f(z)+p3(z)f′(z)]^(2)=p(z);or[p1(z)f(z)]^(2)+[p2(z)f′(z)+p3(z)f(z+c)]^(2)=p(z)or[p1(z)f′(z)]^(2)+[p2(z)f(z+c)+p3(z)f(z)]^(2)=p(z);where c is a nonzero complex number,p1;p2 and p3 are polynomials in C satisfying p1p3■0;and p is a nonzero irreducible polynomial in C.展开更多
In this article,we study the meromorphic solutions of the following non-linear differential equation■where n and k are integers with n≥k≥3,P_(d)(z,f)is a differential polynomial in f of degree d≤n−1,p′js andα′j...In this article,we study the meromorphic solutions of the following non-linear differential equation■where n and k are integers with n≥k≥3,P_(d)(z,f)is a differential polynomial in f of degree d≤n−1,p′js andα′js are non-zero constants.We obtain the expressions of meromorphic solutions of the above equations under some restrictions onα′js.Some examples are given to illustrate the possibilities of our results.展开更多
The primary mission of the Gravity Recovery and Climate Experiment (GRACE) satellite and its successor,GRACE Follow-On (GRACE-FO), is to provide time-variable gravity fields, and its observations have been widely used...The primary mission of the Gravity Recovery and Climate Experiment (GRACE) satellite and its successor,GRACE Follow-On (GRACE-FO), is to provide time-variable gravity fields, and its observations have been widely used in various studies. However, the nearly one-year gap between GRACE and GRACE-FO has affected our ability to obtain continuous time-variable gravity data. In this study, we use the Singular Spectrum Analysis (SSA) method to fill the nearly one-year gap between the GRACE and GRACE-FO missions, as well as the gaps within the GRACE mission itself, to generate a continuous and complete mascon product from April 2002 to December 2022. These products are evaluated at the basin scale in Greenland, Antarctica, and ten river basins worldwide, as well as across oceans. The results show that our filled data can effectively recover seasonal and interannual signals and exhibit good consistency with previous reconstructions. The products provided in this study will benefit GRACE applications related to oceans, glaciers, and terrestrial water storage.展开更多
In this article,several kinds of novel exact waves solutions of three well-known different space-time fractional nonlinear coupled waves dynamical models are constructed with the aid of simpler and effective improved ...In this article,several kinds of novel exact waves solutions of three well-known different space-time fractional nonlinear coupled waves dynamical models are constructed with the aid of simpler and effective improved auxiliary equation method.Firstly we will investigate space-time fractional coupled Boussinesq-Burger dynamical model,which is used to model the propagation of water waves in shallow sea and harbor,and has many applications in ocean engineering.Secondly,we will investigate the space-time fractional coupled Drinfeld-SokolovWilson equation which is used to characterize the nonlinear surface gravity waves propagation over horizontal seabed.Thirdly,we will investigate the space-time-space fractional coupled Whitham-Broer-Kaup equation which is used to model the shallow water waves in a porous medium near a dam.We obtained different solutions in terms of trigonometric,hyperbolic,exponential and Jacobi elliptic functions.Furthermore,graphics are plotted to explain the different novel structures of obtained solutions such as multi solitons interaction,periodic soliton,bright and dark solitons,Kink and anti-Kink solitons,breather-type waves and so on,which have applications in ocean engineering,fluid mechanics and other related fields.We hope that our results obtained in this article will be useful to understand many novel physical phenomena in applied sciences and other related fields.展开更多
Development of high performance,flexible piezoelectric nanogenerators(PENGs)is critical for advancing self-powered sensing and microelectronic applications.In this study,a hydrogen-bond substitute strategy was employe...Development of high performance,flexible piezoelectric nanogenerators(PENGs)is critical for advancing self-powered sensing and microelectronic applications.In this study,a hydrogen-bond substitute strategy was employed to fabricate a multi-layer PENG based on a cellulose/polyvinylidene fluoride(PVDF)blend film matrix,incorporating multi-phase BCZT(0.1BaZr_(0.2)Ti_(0.8)O_(3)-0.9Ba_(0.7)Ca_(0.3)TiO_(3))ceramic fillers.Structural characterization via SEM and TEM revealed that an intricate hydrogen-bond network facilitated the uniform dispersion of ceramic fillers within the composite film’s sub-layers.In order to study the effect of filler distribution on piezoelectric performance,the single-and double-layer composite films with varying BCZT configurations were produced and evaluated.The results demonstrated that double-layer PENGs exhibit significantly enhanced electrical output compared to their single-layer counterparts,with the D-L_(3)H_(7) configuration achieving an open circuit voltage(V_(OC))of 23.13 V and a short circuit current(I_(SC))of 8.32μA.This enhancement is attributed to increased inter-layer interfaces,which effectively suppressed charge injection and migration,leading to improved charge density.Additionally,the presence of sharp tipped hexagonal tetragonal phase nanoparticles induced an electric field enhancement effect,further optimizing performance.展开更多
Today,a well-devised charging operation scheme is urgently needed by on-site workmen and is critical for building an intelligent blast furnace(BF).Previous research on charging operations always focused on the two-dim...Today,a well-devised charging operation scheme is urgently needed by on-site workmen and is critical for building an intelligent blast furnace(BF).Previous research on charging operations always focused on the two-dimensional shape of the burden surface(i.e.,a single radial profile)while neglecting the unique feature of global dissymmetry,severely restricting the development of precise charging.For this reason,this study proposes an innovative optimization strategy for the charging operation under the three-dimensional burden surface,which is the first attempt in this field.First,a practicable region partitioning scheme is introduced,and the partitioning results are then integrated with the charging mechanism to construct a three-dimensional burden surface prediction model.Next,the intrinsic relationship between the operational parameters and charging volume is revealed based on the law of mass conservation,which forms the basis for defining a novel operational parameter with variable-speed utility,referred to as the neotype charging matrix(NCM).To find the best NCM,a customized NCM optimization strategy,involving a dual constraint handling technique in conjunction with a two-stage hybrid variable differential evolution algorithm,is further developed.The industrial experiment results manifest that the partitioning scheme significantly enhances the accuracy of burden surface description.Moreover,the NCM optimization strategy offers greater flexibility and higher accuracy than current mainstream optimization strategies for the charging matrix(CM).展开更多
In this paper,we study high energy normalized solutions for the following Schr?dinger equation{-Δu+V(x)u+λu=f(u),in R^(2),∫_(R^(2))|u|^(2)dx=c,where c>0,λ∈R will appear as a Lagrange multiplier,V(x)=ω|x|2 rep...In this paper,we study high energy normalized solutions for the following Schr?dinger equation{-Δu+V(x)u+λu=f(u),in R^(2),∫_(R^(2))|u|^(2)dx=c,where c>0,λ∈R will appear as a Lagrange multiplier,V(x)=ω|x|2 represents a trapping potential,and f has an exponential critical growth.Under the appropriate assumptions of f,we have obtained the existence of normalized solutions to the above Schr?dinger equation by introducing a variational method.And these solutions are also high energy solutions with positive energy.展开更多
The rapid screening of bioactive constituents within traditional Chinese medicine(TCM)presents a significant challenge to researchers.Prevailing strategies for the screening of active components in TCM often overlook ...The rapid screening of bioactive constituents within traditional Chinese medicine(TCM)presents a significant challenge to researchers.Prevailing strategies for the screening of active components in TCM often overlook trace components owing to their concealment by more abundant constituents.To address this limitation,a fishing strategy based on offline two-dimensional liquid chromatography(2D-LC)combined with surface plasmon resonance(SPR)was utilized to screen bioactive trace components targeting peroxiredoxin 3(PRDX3),using Uncaria alkaloids(UAs)as a case study.Initially,an orthogonal preparative offline 2D-LC system combining a positively charged C_(18)column and a conventional C_(18)column under disparate mobile phase conditions was constructed.To fully reveal the trace alkaloids,132D fractions of UAs were prepared,and their components were characterized using mass spectrometry(MS).Subsequently,employing PRDX3 as the targeting protein,a SPR-based screening approach was established and rigorously validated with geissoschizine methyl ether(GSM)serving as a positive control for binding.Employing this refined strategy,29 candidate binding alkaloids were fished from the 132D fractions.Notably,combining offline 2D-LC with SPR increased the yield of candidate binding components from 10 to 29 when compared to SPR-based screening alone.Subsequent binding affinity assays confirmed that PRDX3 was a direct binding target for the 12 fished alkaloids,with isovallesiachotamine(IV),corynoxeine N-oxide(CO-N),and cadambine(CAD)demonstrating the highest affinity for PRDX3.Their interactions were further validated through molecular docking analysis.Subsequent intracellular H_(2)O_(2)measurement assays and transfection experiments confirmed that these three trace alkaloids enhanced PRDX3-mediated H_(2)O_(2)clearance.In conclusion,this study introduced an innovative strategy for the identification of active trace components in TCM.This approach holds promise for accelerating research on medicinal components within this field.展开更多
基金support from the National Natural Science Foun-dation of China(Nos.52472114 and 52332003)the Pro-gram of Shanghai Academic/Technology Research Leader(No.23XD1424300)are greatly acknowledged.
文摘The ultra-lightweight and multifunction integrated thermal protection materials are critical for the de-velopment of hypersonic vehicles.Although various materials have been developed as potential thermal protection materials,most of them generally present a singular function.It is still challenging to meet the multifunctional requirements of ultra-lightweight,thermal insulation,electromagnetic interference(EMI)shielding,and high-temperature ablation resistance.Herein,a gradient C_(f)/(CrZrHfNbTa)C-SiC composite is designed and fabricated based on the bionic strategy of capillary adsorption and transport.The devel-oped gradient C_(f)/(CrZrHfNbTa)C-SiC composite is as light as 0.74 g/cm^(3),which shows excellent ablation resistance(-3.88μm/s at 2000℃).It also presents competitive thermal insulation performance with a back temperature below 152℃while enduring 1300℃on the front side.The thermal conductivity of the gradient composite is 0.202 W mr^(-1) K^(-1).Furthermore,the gradient C_(f)/(CrZrHfNbTa)C-SiC composite offers remarkable EMI shielding performance with mean total EMI shielding efficiency(SE_(T))larger than 45 dB in an ultra-wide frequency range of 0-100 GHz.The excellent multifunctional performance with ultra-lightweight makes the gradient C_(f)/(CrZrHfNbTa)C-SiC composite ideal thermal protection materials for hypersonic vehicles.This work provides a flexible strategy for constructing gradient composites for multifunctional applications.
基金Supported by NSFC(11371282,11201196)Natural Science Foundation of Jiangxi(20142BAB211002)
文摘In this paper, we deal with the existence and multiplicity of solutions to the frac- tional elliptic problems involving critical and supercritical Sobolev exponent via variational arguments. By means of the truncation combining with the Moser iteration, we prove that our problem has at least three solutions.
文摘Integrating two different catalytic active sites into one composite is a useful 2-in-1 strategy for designing high-efficient bifunctional catalysts,which can easily tailor the activity of each reaction.Hence,we adopt the 2-in-1 strategy to design the metal oxyhydroxide supported on N-doped porous carbons(PA-CoFe@NPC)as the oxygen bifunctional catalyst,where NPC provides the activity for oxygen reduction reaction(ORR)while the metal oxyhydroxide is responsible for oxygen evolution reaction(OER).Results demonstrate that the PA-CoFe@NPC indeed exhibits both super ORR and OER activities.Impressively,using bifunctional PA-CoFe@NPC as the oxygen electrode,the resulting Zn-air battery exhibits outstanding charge and discharge performance with the peak power density of 156.3 mW cm^(-2),and also exhibits a long-term cycle stability with continuous cyclic charge and discharge of 170 hours that is obviously better than the 20%Pt/C+IrO_(2)based one.The 2-in-1 strategy in this work can be efficiently extended to design other bi-or multi-functional electrocatalysts.
文摘Archroma,a global leader in specialty chemicals focused on sustainable solutions,is excited to announce its debut participation in Denimsandjeans Egypt,taking place on January 19–20,2026 at the InterContinental Citystars Cairo.In its first year at the show,Archroma will showcase its low-impact denim solutions,designed to help brands and mills advance sustainability without compromising aesthetics,quality or performance.“With Egypt emerging as a strategic denim sourcing market,there is a clear opportunity to accelerate more sustainable production.Archroma’s innovations are designed to support this growth with scalable,low impact solutions,”commented Dhirendra Gautam,Vice President,Commercial,Archroma.
文摘Generalised reduced masses with a set of equations governing the three relative motions between two of 3-bodies in their gravitational field are established,of which the dynamic characteristics of 3-body dynamics,fundamental bases of this paper,are revealed.Based on these findings,an equivalent system is developed,which is a 2-body system with its total mass,constant angular momentum,kinetic and potential energies same as the total ones of three relative motions,so that it can be solved using the well-known theory of the 2-body system.From the solution of an equivalent system with the revealed characteristics of three relative motions,the general theoretical solutions of the 3-body system are obtained in the curve-integration forms along the orbits in the imaged radial motion space.The possible periodical orbits with generalised Kepler’s law are presented.Following the description and mathematical demonstrations of the proposed methods,the examples including Euler’s/Lagrange’s problems,and a reported numerical one are solved to validate the proposed methods.The methods derived from the 3-body system are extended to N-body problems.
基金Project supported by Shaanxi Scholarship Council of China(Grant No.2021-030)the Youth Scientific Research Project of Shaanxi Province,China(Grant No.202103021223060)。
文摘In order to more accurately and effectively consider the propagation process of solitons in electromagnetic pulse waves and make full use of wavelength division multiplexing,we study a class of high-order three-component Hirota equations by the Riemann-Hilbert method.Under zero boundary conditions and given initial conditions q_(j)(x,0),the N-soliton solutions of the equations are obtained by constructing and solving Riemann-Hilbert problems based on matrix spectral problem.Specifically,we discuss the cases of N=1,2,analyze the dynamical properties of 1-soliton and 2-soliton solutions through numerical simulations,and summarize the effect of integrable perturbations and spectral parameters on soliton motion.
基金supported by the National Natural Science Foundation of China(Nos.61773142,62303136)China Postdoctoral Science Foundation(No.2023M740912)Postdoctoral Fellowship Program of CPSF,China(No.GZC20233447).
文摘In this article,a three-dimensional cooperative guidance problem for highly maneuvering targets is investigated under the assumption of perfect information.Inspired by the coverage strategy,the cooperative guidance problem is decomposed into one-on-one guidance problems against predictive interception points.To expand the coverage area of each missile,these one-on-one guidance problems are formulated as flight path angle tracking problems,and the optimal error dynamics is extended to derive the guidance law analytically.In addition,through the introduction of the coverage probability model,the dynamic coverage strategy is proposed.The predictive interception points are updated online by maximizing the coverage probability,which aims to achieve successful interception despite variations in target acceleration.Furthermore,a switching strategy of the guidance command is designed for collision avoidance.Simulation results demonstrate that the missile group can cooperatively intercept a highly maneuvering target under the proposed guidance law.
基金supported by the National Natural Science Foundation of China(11931009,12271495,11971450,and 12071449)Anhui Initiative in Quantum Information Technologies(AHY150200)the Project of Stable Support for Youth Team in Basic Research Field,Chinese Academy of Sciences(YSBR-001).
文摘On a compact Riemann surface with finite punctures P_(1),…P_(k),we define toric curves as multivalued,totallyunramified holomorphic maps to P^(n)with monodromy in a maximal torus of PSU(n+1).Toric solutions to SU(n+1)Todasystems on X\{P_(1);…;P_(k)}are recognized by the associated toric curves in.We introduce character n-ensembles as-tuples of meromorphic one-forms with simple poles and purely imaginary periods,generating toric curves on minus finitelymany points.On X,we establish a correspondence between character-ensembles and toric solutions to the SU(n+1)system with finitely many cone singularities.Our approach not only broadens seminal solutions with two conesingularities on the Riemann sphere,as classified by Jost-Wang(Int.Math.Res.Not.,2002,(6):277-290)andLin-Wei-Ye(Invent.Math.,2012,190(1):169-207),but also advances beyond the limits of Lin-Yang-Zhong’s existencetheorems(J.Differential Geom.,2020,114(2):337-391)by introducing a new solution class.
基金Supported by the National Natural Science Foundation of China(12361040)。
文摘In this work,we demonstrate that the existence of an Z-shaped connected component within the set of positive solutions for the one-dimensional prescribed mean curvature equation in Minkowski space■with boundary conditions having parameter in two cases f(O)=0 and f(0)>0 by using upper and lower solution method,where λ>0 is a parameter,f∈C^(2)([0,∞),R)is monotonically increasing and lim_(μ→1)^(f(u)/1-u=0,h∈C^(1)([0,1],(0,∞))is a nonincreasing function and h(t)>1.
基金supported by National Natural Science Foundation of China(Grant No.12071042)Beijing Municipal Natural Science Foundation(Grant No.1242004)。
文摘The investigation centers on a generalized Toda lattice equation featuring four potentials.Initially,the continuous counterpart is first established using the continuous limit approach.Subsequently,leveraging its 3×3 matrix spectrum problem,the discrete generalized(m,3N-m)-fold Darboux transformation(DT)is formulated for this discrete system.Finally,the derived generalized DT is employed to generate precise rational solutions and hybrid rational-exponential solutions,which are thoroughly analyzed and graphically illustrated.These novel findings may offer insights into the lattice dynamical phenomena described by Toda lattice equation.
基金supported by the National Natural Science Foundation of China(Grant No.72001207)。
文摘We propose a dual-layer network model that integrates social and familial contexts,consisting of a social interaction layer and a family relationship layer.We design a reputation-based incentive mechanism incorporating strategy persistenceconsistency to investigate how reputation fosters cooperation.The model features the following aspects:(1)a dynamic disconnection-reconnection mechanism in the social layer,(2)a reputation-enhanced Fermi rule in the family layer,and(3)a refined partitioning of the family network.Simulation results indicate that the disconnection-reconnection parameter(σ)significantly enhances cooperation in the social network;the strategic persistence-consistency influencing factor(α)has a positive impact on cooperation in both layers;and moderately dividing the family network promotes the emergence of cooperation.The research findings facilitate group cooperation in complex networks and offer valuable insights for addressing social dilemmas in the real world.
基金Supported by the National Natural Science Foundation of China(11871260,11761050)the Jiangxi Natural Science Foundation(#20232ACB201005)+1 种基金the Shandong Natural Science Foundation(#ZR2024MA024)Doctoral Startup Fund of Jiangxi Science and Technology Normal University(#2021BSQD30).
文摘The main purpose of this paper is to try to find all entire solutions of the Fermat type difference-differential equation[p1(z)f(z+c)]^(2)+[p2(z)f(z)+p3(z)f′(z)]^(2)=p(z);or[p1(z)f(z)]^(2)+[p2(z)f′(z)+p3(z)f(z+c)]^(2)=p(z)or[p1(z)f′(z)]^(2)+[p2(z)f(z+c)+p3(z)f(z)]^(2)=p(z);where c is a nonzero complex number,p1;p2 and p3 are polynomials in C satisfying p1p3■0;and p is a nonzero irreducible polynomial in C.
基金supported by the National Natural Science Foundation of China(No.12001117)the Guangdong Basic and Applied Basic Research Foundation(No.2021A1515110654).
文摘In this article,we study the meromorphic solutions of the following non-linear differential equation■where n and k are integers with n≥k≥3,P_(d)(z,f)is a differential polynomial in f of degree d≤n−1,p′js andα′js are non-zero constants.We obtain the expressions of meromorphic solutions of the above equations under some restrictions onα′js.Some examples are given to illustrate the possibilities of our results.
基金the National Natural Science Foundation of China(E3ER0402A2,E421040401)the University of Chinese Academy of Sciences Research Start-up Grant(110400M003)the Fundamental Research Funds for the Central Universities(E2ET0411X2).
文摘The primary mission of the Gravity Recovery and Climate Experiment (GRACE) satellite and its successor,GRACE Follow-On (GRACE-FO), is to provide time-variable gravity fields, and its observations have been widely used in various studies. However, the nearly one-year gap between GRACE and GRACE-FO has affected our ability to obtain continuous time-variable gravity data. In this study, we use the Singular Spectrum Analysis (SSA) method to fill the nearly one-year gap between the GRACE and GRACE-FO missions, as well as the gaps within the GRACE mission itself, to generate a continuous and complete mascon product from April 2002 to December 2022. These products are evaluated at the basin scale in Greenland, Antarctica, and ten river basins worldwide, as well as across oceans. The results show that our filled data can effectively recover seasonal and interannual signals and exhibit good consistency with previous reconstructions. The products provided in this study will benefit GRACE applications related to oceans, glaciers, and terrestrial water storage.
文摘In this article,several kinds of novel exact waves solutions of three well-known different space-time fractional nonlinear coupled waves dynamical models are constructed with the aid of simpler and effective improved auxiliary equation method.Firstly we will investigate space-time fractional coupled Boussinesq-Burger dynamical model,which is used to model the propagation of water waves in shallow sea and harbor,and has many applications in ocean engineering.Secondly,we will investigate the space-time fractional coupled Drinfeld-SokolovWilson equation which is used to characterize the nonlinear surface gravity waves propagation over horizontal seabed.Thirdly,we will investigate the space-time-space fractional coupled Whitham-Broer-Kaup equation which is used to model the shallow water waves in a porous medium near a dam.We obtained different solutions in terms of trigonometric,hyperbolic,exponential and Jacobi elliptic functions.Furthermore,graphics are plotted to explain the different novel structures of obtained solutions such as multi solitons interaction,periodic soliton,bright and dark solitons,Kink and anti-Kink solitons,breather-type waves and so on,which have applications in ocean engineering,fluid mechanics and other related fields.We hope that our results obtained in this article will be useful to understand many novel physical phenomena in applied sciences and other related fields.
基金National Natural Science Foundation of China(52472132)Opening Project of Engineering Research Center of Eco-friendly Polymeric Materials,Ministry of Education(EFP-KF2403)Innovation Service Capability Support Plan of Xianyang(Science and Technology Innovation Talents)。
文摘Development of high performance,flexible piezoelectric nanogenerators(PENGs)is critical for advancing self-powered sensing and microelectronic applications.In this study,a hydrogen-bond substitute strategy was employed to fabricate a multi-layer PENG based on a cellulose/polyvinylidene fluoride(PVDF)blend film matrix,incorporating multi-phase BCZT(0.1BaZr_(0.2)Ti_(0.8)O_(3)-0.9Ba_(0.7)Ca_(0.3)TiO_(3))ceramic fillers.Structural characterization via SEM and TEM revealed that an intricate hydrogen-bond network facilitated the uniform dispersion of ceramic fillers within the composite film’s sub-layers.In order to study the effect of filler distribution on piezoelectric performance,the single-and double-layer composite films with varying BCZT configurations were produced and evaluated.The results demonstrated that double-layer PENGs exhibit significantly enhanced electrical output compared to their single-layer counterparts,with the D-L_(3)H_(7) configuration achieving an open circuit voltage(V_(OC))of 23.13 V and a short circuit current(I_(SC))of 8.32μA.This enhancement is attributed to increased inter-layer interfaces,which effectively suppressed charge injection and migration,leading to improved charge density.Additionally,the presence of sharp tipped hexagonal tetragonal phase nanoparticles induced an electric field enhancement effect,further optimizing performance.
基金supported in part by the Science and Technology Innovation Program of Hunan Province(2024RC1007)the Young Scientists Fund of the National Natural Science Foundation of China(62303491)+2 种基金the Major Program of Xiangjiang Laboratory(22XJ01005)the Young Scientists Fund of the National Natural Science Foundation of China(62203473)Central South University Post-Graduate Independent Exploration and Innovation Project(2024ZZTS0451).
文摘Today,a well-devised charging operation scheme is urgently needed by on-site workmen and is critical for building an intelligent blast furnace(BF).Previous research on charging operations always focused on the two-dimensional shape of the burden surface(i.e.,a single radial profile)while neglecting the unique feature of global dissymmetry,severely restricting the development of precise charging.For this reason,this study proposes an innovative optimization strategy for the charging operation under the three-dimensional burden surface,which is the first attempt in this field.First,a practicable region partitioning scheme is introduced,and the partitioning results are then integrated with the charging mechanism to construct a three-dimensional burden surface prediction model.Next,the intrinsic relationship between the operational parameters and charging volume is revealed based on the law of mass conservation,which forms the basis for defining a novel operational parameter with variable-speed utility,referred to as the neotype charging matrix(NCM).To find the best NCM,a customized NCM optimization strategy,involving a dual constraint handling technique in conjunction with a two-stage hybrid variable differential evolution algorithm,is further developed.The industrial experiment results manifest that the partitioning scheme significantly enhances the accuracy of burden surface description.Moreover,the NCM optimization strategy offers greater flexibility and higher accuracy than current mainstream optimization strategies for the charging matrix(CM).
基金Supported by National Natural Science Foundation of China(Grant Nos.11671403 and 11671236)Henan Provincial General Natural Science Foundation Project(Grant No.232300420113)。
文摘In this paper,we study high energy normalized solutions for the following Schr?dinger equation{-Δu+V(x)u+λu=f(u),in R^(2),∫_(R^(2))|u|^(2)dx=c,where c>0,λ∈R will appear as a Lagrange multiplier,V(x)=ω|x|2 represents a trapping potential,and f has an exponential critical growth.Under the appropriate assumptions of f,we have obtained the existence of normalized solutions to the above Schr?dinger equation by introducing a variational method.And these solutions are also high energy solutions with positive energy.
基金supported by Shanghai Institute of Materia Medica-Shanghai University of Traditional Chinese Medicine(SIMM-SHUTCM)Traditional Chinese Medicine Innovation Joint Research Program,China(Grant No.:2022,E2G808H096)the National Key Research and Development Program of China(Grant Nos.:2022YFC3501704 and 2023YFC3504205)Sanming Project of Medicine in Shenzhen,China(Grant No.:ZZYSM202106004).
文摘The rapid screening of bioactive constituents within traditional Chinese medicine(TCM)presents a significant challenge to researchers.Prevailing strategies for the screening of active components in TCM often overlook trace components owing to their concealment by more abundant constituents.To address this limitation,a fishing strategy based on offline two-dimensional liquid chromatography(2D-LC)combined with surface plasmon resonance(SPR)was utilized to screen bioactive trace components targeting peroxiredoxin 3(PRDX3),using Uncaria alkaloids(UAs)as a case study.Initially,an orthogonal preparative offline 2D-LC system combining a positively charged C_(18)column and a conventional C_(18)column under disparate mobile phase conditions was constructed.To fully reveal the trace alkaloids,132D fractions of UAs were prepared,and their components were characterized using mass spectrometry(MS).Subsequently,employing PRDX3 as the targeting protein,a SPR-based screening approach was established and rigorously validated with geissoschizine methyl ether(GSM)serving as a positive control for binding.Employing this refined strategy,29 candidate binding alkaloids were fished from the 132D fractions.Notably,combining offline 2D-LC with SPR increased the yield of candidate binding components from 10 to 29 when compared to SPR-based screening alone.Subsequent binding affinity assays confirmed that PRDX3 was a direct binding target for the 12 fished alkaloids,with isovallesiachotamine(IV),corynoxeine N-oxide(CO-N),and cadambine(CAD)demonstrating the highest affinity for PRDX3.Their interactions were further validated through molecular docking analysis.Subsequent intracellular H_(2)O_(2)measurement assays and transfection experiments confirmed that these three trace alkaloids enhanced PRDX3-mediated H_(2)O_(2)clearance.In conclusion,this study introduced an innovative strategy for the identification of active trace components in TCM.This approach holds promise for accelerating research on medicinal components within this field.
