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非齐次不可压缩流体的Navier-Stokes方程的爆破判据
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作者 李玉鸽 任永华 郝惠琴 《广西师范大学学报(自然科学版)》 北大核心 2026年第1期119-125,共7页
本文探讨非齐次不可压缩流体Navier-Stokes方程的爆破判据问题。方程弱解的存在性已得到充分研究,但强解的存在性仍是一个开放问题,特别是对满足特定相容性条件的充分正则数据,目前仅得到局部存在性结果。本文在二维有界光滑域中重点研... 本文探讨非齐次不可压缩流体Navier-Stokes方程的爆破判据问题。方程弱解的存在性已得到充分研究,但强解的存在性仍是一个开放问题,特别是对满足特定相容性条件的充分正则数据,目前仅得到局部存在性结果。本文在二维有界光滑域中重点研究方程的爆破判据,即导致解失去正则性的条件,通过推导独立于密度下界的先验估计,并证明初值问题或初边值问题局部强解的存在性和唯一性,为理解非齐次不可压缩流体动力学中解的稳定性和存在性提供新的理论支持。 展开更多
关键词 非齐次 不可压缩流 navier-stokeS方程 爆破判据
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具有Dirichlet信号边界的趋化Navier-Stokes模型的整体适定性
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作者 王晓琪 吴杰 《西北师范大学学报(自然科学版)》 2026年第1期49-58,共10页
研究二维光滑有界区域中具有二次衰减和Dirichlet信号边界的趋化Navier-Stokes模型的整体适定性.为了克服非齐次Dirichlet边界带来的困难,先将原问题转化为齐次Dirichlet边界问题,再利用解的局部存在性理论、能量估计证明了对于满足充... 研究二维光滑有界区域中具有二次衰减和Dirichlet信号边界的趋化Navier-Stokes模型的整体适定性.为了克服非齐次Dirichlet边界带来的困难,先将原问题转化为齐次Dirichlet边界问题,再利用解的局部存在性理论、能量估计证明了对于满足充分正则性的初始条件,该模型都存在一致有界的整体经典解.在某些附加假设下,借助Hölder估计与时空估计分析了解的大时间行为. 展开更多
关键词 趋化navier-stokes模型 Dirichlet信号边界条件 logistic源项 整体有界性 大时间行为
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时间加权的Besov空间上带外力的分数阶Navier-Stokes方程
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作者 李琳玉 杨和 《西北师范大学学报(自然科学版)》 2026年第1期77-92,共16页
讨论分数阶Navier-Stokes方程在时间加权的Besov空间中mild解的存在性和唯一性.基于Lebesgue控制收敛定理、Banach空间隐函数定理、Besov空间上Navier-Stokes方程的L p-L q估计以及Mittag-Leffler函数的相关性质,给出了具有小初始数据... 讨论分数阶Navier-Stokes方程在时间加权的Besov空间中mild解的存在性和唯一性.基于Lebesgue控制收敛定理、Banach空间隐函数定理、Besov空间上Navier-Stokes方程的L p-L q估计以及Mittag-Leffler函数的相关性质,给出了具有小初始数据和外力的情况下该方程全局mild解的存在性和唯一性定理,并研究了给定数据下局部mild解的存在性. 展开更多
关键词 分数阶navier-stokes方程 时间加权的Besov空间 MILD解 适定性
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Engineered Radiative Cooling Systems for Thermal-Regulating and Energy-Saving Applications
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作者 Leqi Lei Ting Wu +8 位作者 Shuo Shi Yifan Si Chuanwei Zhi Kaisong Huang Jieqiong Yang Xinshuo Liang Shanshan Zhu Jinping Qu Jinlian Hu 《Nano-Micro Letters》 2026年第1期509-544,共36页
Radiative cooling systems(RCSs)possess the distinctive capability to dissipate heat energy via solar and thermal radiation,making them suitable for thermal regulation and energy conservation applications,essential for... Radiative cooling systems(RCSs)possess the distinctive capability to dissipate heat energy via solar and thermal radiation,making them suitable for thermal regulation and energy conservation applications,essential for mitigating the energy crisis.A comprehensive review connecting the advancements in engineered radiative cooling systems(ERCSs),encompassing material and structural design as well as thermal and energy-related applications,is currently absent.Herein,this review begins with a concise summary of the essential concepts of ERCSs,followed by an introduction to engineered materials and structures,containing nature-inspired designs,chromatic materials,meta-structural configurations,and multilayered constructions.It subsequently encapsulates the primary applications,including thermal-regulating textiles and energy-saving devices.Next,it highlights the challenges of ERCSs,including maximized thermoregulatory effects,environmental adaptability,scalability and sustainability,and interdisciplinary integration.It seeks to offer direction for forthcoming fundamental research and industrial advancement of radiative cooling systems in real-world applications. 展开更多
关键词 Radiative cooling systems Engineered materials Thermal-regulating ENERGY-SAVING Smart applications
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Curtain Wall Systems as Climate-Adaptive Energy Infrastructures:A Critical Review of Their Role in Sustainable Building Performance
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作者 Samira Rastbod Mehdi Jahangiri +1 位作者 Behrang Moradi Haleh Nazari 《Energy Engineering》 2026年第1期27-55,共29页
Curtain wall systems have evolved from aesthetic facade elements into multifunctional building envelopes that actively contribute to energy efficiency and climate responsiveness.This reviewpresents a comprehensive exa... Curtain wall systems have evolved from aesthetic facade elements into multifunctional building envelopes that actively contribute to energy efficiency and climate responsiveness.This reviewpresents a comprehensive examination of curtain walls from an energy-engineering perspective,highlighting their structural typologies(Stick and Unitized),material configurations,and integration with smart technologies such as electrochromic glazing,parametric design algorithms,and Building Management Systems(BMS).Thestudy explores the thermal,acoustic,and solar performance of curtain walls across various climatic zones,supported by comparative analyses and iconic case studies including Apple Park,Burj Khalifa,and Milad Tower.Key challenges—including installation complexity,high maintenance costs,and climate sensitivity—are critically assessed alongside proposed solutions.A central innovation of this work lies in framing curtain walls not only as passive architectural elements but as dynamic interfaces that modulate energy flows,reduce HVAC loads,and enhance occupant comfort.The reviewed data indicate that optimized curtain wall configurations—especially those integrating electrochromic glazing and BIPV modules—can achieve annual energy consumption reductions ranging fromapproximately 5%to 27%,depending on climate,control strategy,and facade typology.The findings offer a valuable reference for architects,energy engineers,and decision-makers seeking to integrate high-performance facades into future-ready building designs. 展开更多
关键词 Curtain wall systems energy efficiency climate-responsive design smart facades electrochromic glass parametric architecture building envelope technologies
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Innovative gene delivery systems for retinal disease therapy
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作者 Hongguang Wu Ling Dong +2 位作者 Shibo Jin Yongwang Zhao Lili Zhu 《Neural Regeneration Research》 2026年第2期542-552,共11页
The human retina,a complex and highly specialized structure,includes multiple cell types that work synergistically to generate and transmit visual signals.However,genetic predisposition or age-related degeneration can... The human retina,a complex and highly specialized structure,includes multiple cell types that work synergistically to generate and transmit visual signals.However,genetic predisposition or age-related degeneration can lead to retinal damage that severely impairs vision or causes blindness.Treatment options for retinal diseases are limited,and there is an urgent need for innovative therapeutic strategies.Cell and gene therapies are promising because of the efficacy of delivery systems that transport therapeutic genes to targeted retinal cells.Gene delivery systems hold great promise for treating retinal diseases by enabling the targeted delivery of therapeutic genes to affected cells or by converting endogenous cells into functional ones to facilitate nerve regeneration,potentially restoring vision.This review focuses on two principal categories of gene delivery vectors used in the treatment of retinal diseases:viral and non-viral systems.Viral vectors,including lentiviruses and adeno-associated viruses,exploit the innate ability of viruses to infiltrate cells,which is followed by the introduction of therapeutic genetic material into target cells for gene correction.Lentiviruses can accommodate exogenous genes up to 8 kb in length,but their mechanism of integration into the host genome presents insertion mutation risks.Conversely,adeno-associated viruses are safer,as they exist as episomes in the nucleus,yet their limited packaging capacity constrains their application to a narrower spectrum of diseases,which necessitates the exploration of alternative delivery methods.In parallel,progress has also occurred in the development of novel non-viral delivery systems,particularly those based on liposomal technology.Manipulation of the ratios of hydrophilic and hydrophobic molecules within liposomes and the development of new lipid formulations have led to the creation of advanced non-viral vectors.These innovative systems include solid lipid nanoparticles,polymer nanoparticles,dendrimers,polymeric micelles,and polymeric nanoparticles.Compared with their viral counterparts,non-viral delivery systems offer markedly enhanced loading capacities that enable the direct delivery of nucleic acids,mRNA,or protein molecules into cells.This bypasses the need for DNA transcription and processing,which significantly enhances therapeutic efficiency.Nevertheless,the immunogenic potential and accumulation toxicity associated with non-viral particulate systems necessitates continued optimization to reduce adverse effects in vivo.This review explores the various delivery systems for retinal therapies and retinal nerve regeneration,and details the characteristics,advantages,limitations,and clinical applications of each vector type.By systematically outlining these factors,our goal is to guide the selection of the optimal delivery tool for a specific retinal disease,which will enhance treatment efficacy and improve patient outcomes while paving the way for more effective and targeted therapeutic interventions. 展开更多
关键词 adeno-associated viruses delivery systems gene delivery gene therapy LENTIVIRUS nanoparticle delivery non-viral delivery retinal disease RETINA small molecular delivery
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GLOBAL STRONG SOLUTION OF THE PRESSURELESS NAVIER-STOKES/NAVIER-STOKES SYSTEM
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作者 Yue ZHANG Minyan YU Houzhi TANG 《Acta Mathematica Scientia》 2025年第3期1045-1062,共18页
We consider the Cauchy problem for the three-dimensional pressureless Navier-Stokes/Navier-Stokes system,which consists of the pressureless Navier-Stokes equations for(n,w)coupled with the isentropic compressible Navi... We consider the Cauchy problem for the three-dimensional pressureless Navier-Stokes/Navier-Stokes system,which consists of the pressureless Navier-Stokes equations for(n,w)coupled with the isentropic compressible Navier-Stokes equations for(ρ,u)through a drag force term n(w−u).We prove the global existence of strong solutions to the coupled system when the initial data are small perturbations of the constant equilibrium state.However,due to the pressureless structure,one can only deal with the density n of the pressureless flow through the transport equation and it is crucial to obtain the exact time-decay rates for the corresponding velocity w of the pressureless flow.To this end,we make use of the spectral analysis,low-high frequency decomposition and time-weighted energy method to deduce the large time behavior of(w,ρ,u)and consequently establish the Lyapunov stability of the density n in Sobolev space. 展开更多
关键词 pressureless navier-stokes/navier-stokes system Cauchy problem strong so-lution global existence
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PARTIAL REGULARITY FOR WEAK SOLUTIONS OF STATIONARY NAVIER-STOKES SYSTEMS 被引量:6
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作者 陈淑红 潭忠 《Acta Mathematica Scientia》 SCIE CSCD 2008年第4期877-894,共18页
This article is concerned with the partial regularity for the weak solutions of stationary Navier-Stokes system under the controllable growth condition.By A-harmonic approximation technique,the optimal regularity is o... This article is concerned with the partial regularity for the weak solutions of stationary Navier-Stokes system under the controllable growth condition.By A-harmonic approximation technique,the optimal regularity is obtained. 展开更多
关键词 navier-stokes system A-harmonic approximation REGULARITY
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PARTIAL REGULARITY OF STATIONARY NAVIER-STOKES SYSTEMS UNDER NATURAL GROWTH CONDITION 被引量:1
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作者 Lianhua HE Zhong TAN 《Acta Mathematica Scientia》 SCIE CSCD 2019年第1期94-110,共17页
In this article, we consider the partial regularity of stationary Navier-Stokes system under the natural growth condition. Applying the method of A-harmonic approximation,we obtain some results about the partial regul... In this article, we consider the partial regularity of stationary Navier-Stokes system under the natural growth condition. Applying the method of A-harmonic approximation,we obtain some results about the partial regularity and establish the optimal Holder exponent for the derivative of a weak solution on its regular set. 展开更多
关键词 PARTIAL REGULARITY navier-stoke systems natural growth condition A-harmonic APPROXIMATION
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PARTIAL REGULARITY FOR STATIONARY NAVIER-STOKES SYSTEMS BY THE METHOD OF A-HARMONIC APPROXIMATION
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作者 Yichen DAI Zhong TAN 《Acta Mathematica Scientia》 SCIE CSCD 2020年第3期835-854,共20页
In this article,we prove a regularity result for weak solutions away from singular set of stationary Navier-Stokes systems with subquadratic growth under controllable growth condition.The proof is based on the A-harmo... In this article,we prove a regularity result for weak solutions away from singular set of stationary Navier-Stokes systems with subquadratic growth under controllable growth condition.The proof is based on the A-harmonic approximation technique.In this article,we extend the result of Shuhong Chen and Zhong Tan[7]and Giaquinta and Modica[18]to the stationary Navier-Stokes system with subquadratic growth. 展开更多
关键词 Stationary navier-stokes systems controllable growth condition partial regularity A-harmonic approximation
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带阻尼的3维Navier-Stokes方程的速度—涡度—Voigt模型的AOT连续资料同化
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作者 谭沈阳 冯钰晟 周一枫 《数学进展》 北大核心 2025年第4期823-830,共8页
本文研究了AOT连续资料同化方法对于带阻尼的3维Navier-Stokes方程的速度—涡度—Voigt模型的适用性.当推压系数和观测精度满足一定条件时,同化系统的解会随时间演化以指数速率收敛到参考系统的解.当参考系统初值缺失或未知时,就可以利... 本文研究了AOT连续资料同化方法对于带阻尼的3维Navier-Stokes方程的速度—涡度—Voigt模型的适用性.当推压系数和观测精度满足一定条件时,同化系统的解会随时间演化以指数速率收敛到参考系统的解.当参考系统初值缺失或未知时,就可以利用同化解对参考解进行近似预测. 展开更多
关键词 navier-stokes速度—涡度—Voigt模型 连续资料同化 回馈控制项
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Large Time Behavior of Solutions for General Navier-Stokes Systems in Multi-Dimension 被引量:1
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作者 Wang Weike Department of Mathematics, Wuhan University, Wuhan 430072, China 《Wuhan University Journal of Natural Sciences》 CAS 1997年第4期3-11,共9页
Through the estimates for Greens function of linearized system, we obtain L p estimates of the asymptotic behavior of solutions of the Cauchy problem for the Navier Stokes systems of compressible flow in seve... Through the estimates for Greens function of linearized system, we obtain L p estimates of the asymptotic behavior of solutions of the Cauchy problem for the Navier Stokes systems of compressible flow in several space dimensions. 展开更多
关键词 conservation law Navier Stokes system multi dimension L p estimates
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STABILITY OF VISCOUS CONTACT WAVE FOR COMPRESSIBLE NAVIER-STOKES SYSTEM OF GENERAL GAS WITH FREE BOUNDARY 被引量:7
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作者 黄飞敏 王勇 翟晓云 《Acta Mathematica Scientia》 SCIE CSCD 2010年第6期1906-1916,共11页
In this paper, we study the large time behavior of solutions to the nonisentropic Navier-Stokes equations of general gas, where polytropic gas is included as a special case, with a free boundary. First we construct a ... In this paper, we study the large time behavior of solutions to the nonisentropic Navier-Stokes equations of general gas, where polytropic gas is included as a special case, with a free boundary. First we construct a viscous contact wave which approximates to the contact discontinuity, which is a basic wave pattern of compressible Euler equation, in finite time as the heat conductivity tends to zero. Then we prove the viscous contact wave is asymptotic stable if the initial perturbations and the strength of the contact wave are small. This generalizes our previous result [6] which is only for polytropic gas. 展开更多
关键词 navier-stokes equations contact discontinuity viscous contact wave
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GLOBAL STABILITY OF WAVE PATTERNS FOR COMPRESSIBLE NAVIER-STOKES SYSTEM WITH FREE BOUNDARY 被引量:3
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作者 秦晓红 王腾 王益 《Acta Mathematica Scientia》 SCIE CSCD 2016年第4期1192-1214,共23页
In this article, we investigate the global stability of the wave patterns with the superposition of viscous contact wave and rarefaction wave for the one-dimensional compressible Navier-Stokes equations with a free bo... In this article, we investigate the global stability of the wave patterns with the superposition of viscous contact wave and rarefaction wave for the one-dimensional compressible Navier-Stokes equations with a free boundary. It is shown that for the ideal polytropic gas, the superposition of the viscous contact wave with rarefaction wave is nonlinearly stable for the free boundary problem under the large initial perturbations for any γ 〉 1 with V being the adiabatic exponent provided that the wave strength is suitably small. 展开更多
关键词 Compressible navier-stokes system free boundary combination of viscous contact and rarefaction wave nonlinear stability
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Artificial Intelligence-Enhanced Digital Twin Systems Engineering Towards the Industrial Metaverse in the Era of Industry 5.0 被引量:3
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作者 He Zhang Yilin Li +2 位作者 Shuai Zhang Lukai Song Fei Tao 《Chinese Journal of Mechanical Engineering》 2025年第2期98-119,共22页
With the continuous advancement and maturation of technologies such as big data,artificial intelligence,virtual reality,robotics,human-machine collaboration,and augmented reality,many enterprises are finding new avenu... With the continuous advancement and maturation of technologies such as big data,artificial intelligence,virtual reality,robotics,human-machine collaboration,and augmented reality,many enterprises are finding new avenues for digital transformation and intelligent upgrading.Industry 5.0,a further extension and development of Industry 4.0,has become an important development trend in industry with more emphasis on human-centered sustainability and flexibility.Accordingly,both the industrial metaverse and digital twins have attracted much attention in this new era.However,the relationship between them is not clear enough.In this paper,a comparison between digital twins and the metaverse in industry is made firstly.Then,we propose the concept and framework of Digital Twin Systems Engineering(DTSE)to demonstrate how digital twins support the industrial metaverse in the era of Industry 5.0 by integrating systems engineering principles.Furthermore,we discuss the key technologies and challenges of DTSE,in particular how artificial intelligence enhances the application of DTSE.Finally,a specific application scenario in the aviation field is presented to illustrate the application prospects of DTSE. 展开更多
关键词 Digital twins systems engineering Industrial metaverse Artificial intelligence Industry 5.0 Smart manufacturing
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具有粘性系数依赖密度的可压缩Navier-Stokes/Allen-Cahn系统的解的整体存在性
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作者 叶蕊萍 孔春香 张梦瑶 《延安大学学报(自然科学版)》 2025年第3期71-77,共7页
Navier-Stokes/Allen-Cahn(NS/AC)系统是将描述流体动力学的Navier-Stokes方程和相变界面演化的Allen-Cahn方程结合,模拟流体中的多相界面及其相互作用过程的多相流模型。该模型假设流体的粘性系数依赖于密度,其形式为μ=ρ^(α)。当0&... Navier-Stokes/Allen-Cahn(NS/AC)系统是将描述流体动力学的Navier-Stokes方程和相变界面演化的Allen-Cahn方程结合,模拟流体中的多相界面及其相互作用过程的多相流模型。该模型假设流体的粘性系数依赖于密度,其形式为μ=ρ^(α)。当0<α<1/4时,借助Young不等式,Poincaré不等式等技巧和适当的插值方法得到更精确的估计,将H^(2)空间推广到H^(4)空间,证明了自由边界问题在H^(4)空间中解的存在性。从而完善了可压缩Navier-Stokes/Allen-Cahn方程组解的整体存在性的相关理论。 展开更多
关键词 navier-stokes/Allen-Cahn方程 可压缩 全局解 粘性系数依赖密度
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ZERO DISSIPATION LIMIT TO CONTACT DISCONTINUITY FOR THE COMPRESSIBLE NAVIER-STOKES SYSTEM OF GENERAL GAS 被引量:2
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作者 Hakho HONG 《Acta Mathematica Scientia》 SCIE CSCD 2016年第1期157-172,共16页
The zero dissipation limit to the contact discontinuities for one-dimensional com- pressible Navier-Stokes equations was recently proved for ideal polytropic gas (see Huang et al. [15, 22] and Ma [31]), but there is... The zero dissipation limit to the contact discontinuities for one-dimensional com- pressible Navier-Stokes equations was recently proved for ideal polytropic gas (see Huang et al. [15, 22] and Ma [31]), but there is few result for general gases including ideal polytropic gas. We prove that if the solution to the corresponding Euler system of general gas satisfying (1.4) is piecewise constant with a contact discontinuity, then there exist smooth solutions to Navier-Stokes equations which converge to the inviscid solutions at a rate of k1/4 as the heat-conductivity coefficient k tends to zero. The key is to construct a viscous contact wave of general gas suitable to our proof (see Section 2). Notice that we have no need to restrict the strength of the contact discontinuity to be small. 展开更多
关键词 zero dissipation limit navier-stokes equations contact discontinuity generalgas
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GLOBAL SOLUTIONS TO 1D COMPRESSIBLE NAVIER-STOKES/ALLEN-CAHN SYSTEM WITH DENSITY-DEPENDENT VISCOSITY AND FREE-BOUNDARY 被引量:2
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作者 丁时进 李颖花 王喻 《Acta Mathematica Scientia》 SCIE CSCD 2024年第1期195-214,共20页
This paper is concerned with the Navier-Stokes/Allen-Cahn system,which is used to model the dynamics of immiscible two-phase flows.We consider a 1D free boundary problem and assume that the viscosity coefficient depen... This paper is concerned with the Navier-Stokes/Allen-Cahn system,which is used to model the dynamics of immiscible two-phase flows.We consider a 1D free boundary problem and assume that the viscosity coefficient depends on the density in the form ofη(ρ)=ρ^(α).The existence of unique global H^(2m)-solutions(m∈N)to the free boundary problem is proven for when 0<α<1/4.Furthermore,we obtain the global C^(∞)-solutions if the initial data is smooth. 展开更多
关键词 navier-stokes/Allen-Cahn system density-dependent viscosity free boundary global solutions
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Navier-Stokes方程的一阶IMEX-SAV有限元格式的无条件最优误差估计
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作者 李健 《应用数学进展》 2025年第12期453-467,共15页
基于指数函数的标量辅助变量(SAV)方法,求解不可压缩Navier-Stokes方程的一阶Euler隐式–显式(IMEX)时间半离散数值格式,其优点在于:所构造的时间离散格式是无条件稳定的,并且在每个时间步上,仅需求解Stokes问题。借助SAV方法,本文构造... 基于指数函数的标量辅助变量(SAV)方法,求解不可压缩Navier-Stokes方程的一阶Euler隐式–显式(IMEX)时间半离散数值格式,其优点在于:所构造的时间离散格式是无条件稳定的,并且在每个时间步上,仅需求解Stokes问题。借助SAV方法,本文构造了求解Navier-Stokes方程的一阶Euler隐式–显式有限元全离散格式,理论上证明了所构造的全离散格式是无条件稳定的。基于误差分裂技巧,理论上得到了速度和压力的无条件最优误差估计。最后,给出数值算例验证理论分析结果。 展开更多
关键词 不可压缩navier-stokeS方程 SAV方法 有限元方法 无条件最优误差估计
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Performance optimization and parameters estimation for MIMO-OFDM dual-functional communication-radar systems 被引量:1
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作者 Chen Zhong Mengting Lou +2 位作者 Chunrong Gu Lan Tang Yechao Bai 《Digital Communications and Networks》 2025年第2期387-400,共14页
Dual-function communication radar systems use common Radio Frequency(RF)signals are used for both communication and detection.For better compatibility with existing communication systems,we adopt Multiple-Input Multip... Dual-function communication radar systems use common Radio Frequency(RF)signals are used for both communication and detection.For better compatibility with existing communication systems,we adopt Multiple-Input Multiple-Output(MIMO)Orthogonal Frequency Division Multiplexing(OFDM)signals as integrated signals and investigate the estimation performance of MIMO-OFDM signals.First,we analyze the Cramer-Rao Lower Bound(CRLB)of parameter estimation.Then,the transmit powers over different subcarriers are optimized to achieve the best tradeoff between the transmission rate and the estimation performance.Finally,we propose a more accurate estimation method that uses Canonical Polyadic Decomposition(CPD)of the third-order tensor to obtain the parameter matrices.Due to the characteristic of the column structure of the parameter matrices,we only need to use DFT/IDFT to recover the parameters of multiple targets.The simulation results show that tensor-based estimation method can achieve a performance close to CRLB,and the estimation performance can be improved by optimizing the transmit powers. 展开更多
关键词 Bistatic dual-function communication-radar systems MIMO-OFDM CRLB Power allocation CPD
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