In this paper,we consider the following logarithmic Schrödinger equation:−Δu+ωu=u log|u|^(2),u∈H^(1)(R^(N)),where N≥3,and ω>0 is a constant.With an auxiliary equation,we obtain the existence of normalized...In this paper,we consider the following logarithmic Schrödinger equation:−Δu+ωu=u log|u|^(2),u∈H^(1)(R^(N)),where N≥3,and ω>0 is a constant.With an auxiliary equation,we obtain the existence of normalized solutions by using the constrained variational method.展开更多
In this paper,we investigate the blow-up phenomenon for a class of logarithmic viscoelastic equations with delay and nonlocal terms under acoustic boundary conditions.Using the energy method,we prove that nontrivial s...In this paper,we investigate the blow-up phenomenon for a class of logarithmic viscoelastic equations with delay and nonlocal terms under acoustic boundary conditions.Using the energy method,we prove that nontrivial solutions with negative initial energy will blow up in finite time,and provide an upper bound estimate for the blow-up time.Additionally,we also derive a lower bound estimate for the blow-up time.展开更多
We consider large-time behaviors of weak solutions to the evolutionary p-Laplacian with logarithmic source of time-dependent coefficient.We find that the weak solutions may neither decay nor blow up,provided that the ...We consider large-time behaviors of weak solutions to the evolutionary p-Laplacian with logarithmic source of time-dependent coefficient.We find that the weak solutions may neither decay nor blow up,provided that the initial data u(·,t_(0))is on the Nehari manifold N:={v∈W_(0)^(1,p)(Ω):I(v,to)=0,||▽v||P^(P)≠0}.This is quite different from the known results that the weak solutions may blow up as,u(·,to)∈N^(+):={v∈W_(0)^(1,p)(Ω):I(v,t_(0))<0}and weak solutions may decay as u(·,t_(0))∈N^(+):={v∈W_(0)^(1,p)(Ω):I(v,t_(0))>0}.展开更多
在“双碳”目标背景下,电解铝企业的低碳转型对减缓气候变化具有重要意义。首先,核算了2010—2022年电解铝企业碳排放总量,并基于对数平均迪氏指数分解(Logarithmic Mean Divisia Index, LMDI)模型对影响因素进行分解,并明确能源碳强度...在“双碳”目标背景下,电解铝企业的低碳转型对减缓气候变化具有重要意义。首先,核算了2010—2022年电解铝企业碳排放总量,并基于对数平均迪氏指数分解(Logarithmic Mean Divisia Index, LMDI)模型对影响因素进行分解,并明确能源碳强度、工序碳强度、能源强度对碳排放量变化具有抑制作用。其次,结合政策导向、市场机制以及碳排放因素,提出4条电解铝企业低碳转型路径。最后,借助Vensim软件构建了系统动力学模型,并以某典型电解铝企业为例进行仿真分析。结果显示,4条路径均有助于企业的低碳转型,但成效存在差异。其中,数智化改造路径为案例企业在当前阶段较为平衡的选择。展开更多
In the case of Z＋^d（d ≥ 2）-the positive d-dimensional lattice points with partial ordering ≤, {Xk,k∈ Z＋^d} i.i.d, random variables with mean 0, Sn =∑k≤nXk and Vn^2 = ∑j≤nXj^2, the precise asymptotics for ∑...In the case of Z＋^d（d ≥ 2）-the positive d-dimensional lattice points with partial ordering ≤, {Xk,k∈ Z＋^d} i.i.d, random variables with mean 0, Sn =∑k≤nXk and Vn^2 = ∑j≤nXj^2, the precise asymptotics for ∑n1/｜n｜（log｜n｜dP（｜Sn/Vn｜≥ε√log log｜n｜） and ∑n（logn｜）b/｜n｜（log｜n｜）^d-1P（｜Sn/Vn｜≥ε√log n）,as ε↓0,is established.展开更多
【目的】城区是城市功能的核心,其内部各类用地的运行主导了城市绝大部分的能源消耗与碳排放,因此城区是碳减排和低碳土地规划的关键。核算城区不同用地类型的碳排放并分析其动态演变特征,解析其时空分布特征与驱动机制,对于城区低碳土...【目的】城区是城市功能的核心,其内部各类用地的运行主导了城市绝大部分的能源消耗与碳排放,因此城区是碳减排和低碳土地规划的关键。核算城区不同用地类型的碳排放并分析其动态演变特征,解析其时空分布特征与驱动机制,对于城区低碳土地规划策略和支撑国家“双碳”战略目标具有关键意义。【方法】以重庆市典型的城区单元蔡家智慧新城作为研究对象,构建“人类活动-用地类型-碳排放”的城区尺度碳排放关联机制与核算模型,计算2016年、2021年实际用地碳排放量,预测2035年规划用地碳排放量,比较由用地类型变化所引发的碳排放总量、不同用地类型的碳排放总量、碳排强度值。运用对数平均迪氏指数(logarithmic mean divisia index,LMDI)分解法分析用地碳排放演变与用地规模、经济发展、人口集聚等驱动因子贡献度的时空演变规律,并根据多目标规划原理,运用交互式的线性和通用优化求解器(linear interactive and general optimizer,LINGO)软件进行测算,以经济效益最大化及碳排放最小化作为目标,对重庆蔡家智慧新城2035年土地利用结构进行优化研究。【结果】1)蔡家智慧新城2016—2035年工业用地碳排放强度最大且呈持续下降趋势;其他用地碳排放强度于2016—2021年呈上升趋势,于2021—2035年呈下降趋势;2016—2035年各类用地的碳排放总量均呈下降趋势。2)人均产值对工业用地及商服用地的碳排放量均有驱动作用;用地能效对居住用地及交通用地的碳排放量均有驱动作用;产值密度对商服用地及交通用地的碳排放量均有抑制作用;能源结构对居住用地的碳排放量有抑制作用;用地能效对工业用地的碳排放量有抑制作用。【结论】在此基础上,构建用地结构优化方案,在基本满足经济发展要求的同时降低碳排放量。提出涵盖“优化产业结构—调整能源结构—提升用地能效”三位一体的策略,以期丰富和完善基于用地类型的城区碳排放核算与低碳土地利用规划方法体系,为未来土地利用低碳规划提供支持。展开更多
Circuit design of 32 bit logarithmic skip adder (LSA) is introduced to implement high performance,low power addition.ELM carry lookahead adder is included into groups of carry skip adder and the hybrid structure cost...Circuit design of 32 bit logarithmic skip adder (LSA) is introduced to implement high performance,low power addition.ELM carry lookahead adder is included into groups of carry skip adder and the hybrid structure costs 30% less hardware than ELM.At circuit level,a carry incorporating structure to include the primary carry input in carry chain and an 'and xor' structure to implement final sum logic in 32 bit LSA are designed for better optimization.For 5V,1μm process,32 bit LSA has a critical delay of 5 9ns and costs an area of 0 62mm 2,power consumption of 23mW at 100MHz.For 2 5V,0 25μm process,critical delay of 0 8ns,power dissipation of 5 2mW at 100MHz is simulated.展开更多
A nonclassical law of iterated logarithm that holds for a stationary negatively associated sequence of random variables with finite variance is proved in this paper. The proof is based on a Rosenthal type maximal ineq...A nonclassical law of iterated logarithm that holds for a stationary negatively associated sequence of random variables with finite variance is proved in this paper. The proof is based on a Rosenthal type maximal inequality and the subsequence method.This result extends the work of Klesov,Rosalsky (2001) and Shao,Su (1999).展开更多
基金supported by the Natural Science Research Project of Department of Education of Guizhou Province(No.QJJ2023062)the National Natural Science Foundation of China(No.52174184)。
文摘In this paper,we consider the following logarithmic Schrödinger equation:−Δu+ωu=u log|u|^(2),u∈H^(1)(R^(N)),where N≥3,and ω>0 is a constant.With an auxiliary equation,we obtain the existence of normalized solutions by using the constrained variational method.
基金supported by the National Natural Sciences Foundation of China(No.62363005)。
文摘In this paper,we investigate the blow-up phenomenon for a class of logarithmic viscoelastic equations with delay and nonlocal terms under acoustic boundary conditions.Using the energy method,we prove that nontrivial solutions with negative initial energy will blow up in finite time,and provide an upper bound estimate for the blow-up time.Additionally,we also derive a lower bound estimate for the blow-up time.
文摘We consider large-time behaviors of weak solutions to the evolutionary p-Laplacian with logarithmic source of time-dependent coefficient.We find that the weak solutions may neither decay nor blow up,provided that the initial data u(·,t_(0))is on the Nehari manifold N:={v∈W_(0)^(1,p)(Ω):I(v,to)=0,||▽v||P^(P)≠0}.This is quite different from the known results that the weak solutions may blow up as,u(·,to)∈N^(+):={v∈W_(0)^(1,p)(Ω):I(v,t_(0))<0}and weak solutions may decay as u(·,t_(0))∈N^(+):={v∈W_(0)^(1,p)(Ω):I(v,t_(0))>0}.
文摘在“双碳”目标背景下,电解铝企业的低碳转型对减缓气候变化具有重要意义。首先,核算了2010—2022年电解铝企业碳排放总量,并基于对数平均迪氏指数分解(Logarithmic Mean Divisia Index, LMDI)模型对影响因素进行分解,并明确能源碳强度、工序碳强度、能源强度对碳排放量变化具有抑制作用。其次,结合政策导向、市场机制以及碳排放因素,提出4条电解铝企业低碳转型路径。最后,借助Vensim软件构建了系统动力学模型,并以某典型电解铝企业为例进行仿真分析。结果显示,4条路径均有助于企业的低碳转型,但成效存在差异。其中,数智化改造路径为案例企业在当前阶段较为平衡的选择。
文摘In the case of Z＋^d（d ≥ 2）-the positive d-dimensional lattice points with partial ordering ≤, {Xk,k∈ Z＋^d} i.i.d, random variables with mean 0, Sn =∑k≤nXk and Vn^2 = ∑j≤nXj^2, the precise asymptotics for ∑n1/｜n｜（log｜n｜dP（｜Sn/Vn｜≥ε√log log｜n｜） and ∑n（logn｜）b/｜n｜（log｜n｜）^d-1P（｜Sn/Vn｜≥ε√log n）,as ε↓0,is established.
文摘【目的】城区是城市功能的核心,其内部各类用地的运行主导了城市绝大部分的能源消耗与碳排放,因此城区是碳减排和低碳土地规划的关键。核算城区不同用地类型的碳排放并分析其动态演变特征,解析其时空分布特征与驱动机制,对于城区低碳土地规划策略和支撑国家“双碳”战略目标具有关键意义。【方法】以重庆市典型的城区单元蔡家智慧新城作为研究对象,构建“人类活动-用地类型-碳排放”的城区尺度碳排放关联机制与核算模型,计算2016年、2021年实际用地碳排放量,预测2035年规划用地碳排放量,比较由用地类型变化所引发的碳排放总量、不同用地类型的碳排放总量、碳排强度值。运用对数平均迪氏指数(logarithmic mean divisia index,LMDI)分解法分析用地碳排放演变与用地规模、经济发展、人口集聚等驱动因子贡献度的时空演变规律,并根据多目标规划原理,运用交互式的线性和通用优化求解器(linear interactive and general optimizer,LINGO)软件进行测算,以经济效益最大化及碳排放最小化作为目标,对重庆蔡家智慧新城2035年土地利用结构进行优化研究。【结果】1)蔡家智慧新城2016—2035年工业用地碳排放强度最大且呈持续下降趋势;其他用地碳排放强度于2016—2021年呈上升趋势,于2021—2035年呈下降趋势;2016—2035年各类用地的碳排放总量均呈下降趋势。2)人均产值对工业用地及商服用地的碳排放量均有驱动作用;用地能效对居住用地及交通用地的碳排放量均有驱动作用;产值密度对商服用地及交通用地的碳排放量均有抑制作用;能源结构对居住用地的碳排放量有抑制作用;用地能效对工业用地的碳排放量有抑制作用。【结论】在此基础上,构建用地结构优化方案,在基本满足经济发展要求的同时降低碳排放量。提出涵盖“优化产业结构—调整能源结构—提升用地能效”三位一体的策略,以期丰富和完善基于用地类型的城区碳排放核算与低碳土地利用规划方法体系,为未来土地利用低碳规划提供支持。
文摘Circuit design of 32 bit logarithmic skip adder (LSA) is introduced to implement high performance,low power addition.ELM carry lookahead adder is included into groups of carry skip adder and the hybrid structure costs 30% less hardware than ELM.At circuit level,a carry incorporating structure to include the primary carry input in carry chain and an 'and xor' structure to implement final sum logic in 32 bit LSA are designed for better optimization.For 5V,1μm process,32 bit LSA has a critical delay of 5 9ns and costs an area of 0 62mm 2,power consumption of 23mW at 100MHz.For 2 5V,0 25μm process,critical delay of 0 8ns,power dissipation of 5 2mW at 100MHz is simulated.
文摘A nonclassical law of iterated logarithm that holds for a stationary negatively associated sequence of random variables with finite variance is proved in this paper. The proof is based on a Rosenthal type maximal inequality and the subsequence method.This result extends the work of Klesov,Rosalsky (2001) and Shao,Su (1999).
