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国家自然科学基金(10431060): 作品数：28被引量：70H指数：5; 导出分析报告; 相关作者：肖玲王术罗定昆孙立博朱长江更多>>; 相关机构：华中师范大学中国科学院数学与系统科学研究院北京工业大学中南民族大学更多>>; 相关期刊：《Science China Mathematics》《Acta Mathematicae Applicatae Sinica》《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》更多>>; 相关主题：CONVERGENCE_RATERAL方程组HYPCOUPLED_SYSTEM更多>>; 相关领域：理学自然科学总论更多>>

Quasi-neutral limit of the full bipolar Euler-Poisson system被引量：2: 《Science China Mathematics》2010年第12期3099-3114,共16页JIANG Song JU QiangChang LI HaiLiang LI Yong; supported by National Natural Science Foundation of China(Grant No.40890154);National Basic Research Program(Grant No.2005CB321700);supported by National Natural Science Foundation of China(Grant No.10701011);supported by National Natural Science Foundation of China(Grant No.10431060);Beijing Nova Program,Program for New Century Excellent Talentsin University,Huo Ying Dong Foundation(Grant No.111033);supported by National Natural Science Foundation of China(Grant No.10901011);Beijing Municipal Natural Science Foundation(Grant No.1102009);Foundation for Talents of Beijing(Grant No.20081D0501500171); The quasi-neutral limit of the multi-dimensional non-isentropic bipolar Euler-Poisson system is considered in the present paper. It is shown that for well-prepared initial data the smooth solution of the non-isentropi...; 关键词：quasi-neutral limit two-fluid Euler-Poisson compressible non-isentropic Euler equation

DECAY RATES OF PLANAR VISCOUS RAREFACTION WAVE FOR MULTI-DIMENSIONAL SCALAR CONSERVATION LAW WITH DEGENERATE VISCOSITY ON HALF SPACE: 《Acta Mathematica Scientia》2010年第1期47-54,共8页刘艳红; supported by the NSF of China (10625105,10431060);the Program for New Centary Excellent Talents in University (NCEF-04-0745); We investigate the decay rates of the planar viscous rarefaction wave of the initial-boundary value problem to scalar conservation law with degenerate viscosity in several dimensions on the half-line space, where the ...; 关键词：planar viscous rarefaction wave degenerate viscosity energy method L1-estimate decay rates boundary layer

CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH GENERAL FORCES被引量：1: 《Acta Mathematica Scientia》2009年第5期1351-1365,共15页钱建贞尹慧; Sponsored by National Natural Science Foundation of China (10431060, 10329101); For the viscous and heat-conductive fluids governed by the compressible Navier- Stokes equations with external force of general form in R^3, there exist nontrivial stationary solutions provided the external forces are...; 关键词：compressible Navier-Stokes equation nonstationary solution convergence rate general external force

Vlasov-Maxwell-Fokker-Planck方程组的极限问题: 《数学学报（中文版）》2009年第4期677-690,共14页肖玲栗付才王术; 国家自然科学基金资助项目(10431060,10501047,10771009);北京市自然科学基金资助项目(1082001); 本文研究Vlasov-Maxwell-Fokker-Planck方程组的拟中性和粘性消失复合极限,证明了Vlasov-Maxwell-Fokker-Planck的重整化解到电磁流体方程组的强解的收敛性.主要结果的证明基于弱收敛紧性方法和相对熵方法.; 关键词：Vlasov-Maxwell-Fokker-Planck方程组电磁流体动力学方程组拟中性和粘性消失复合极限

GLOBAL SOLUTIONS TO A HYPERBOLIC-PARABOLIC COUPLED SYSTEM WITH LARGE INITIAL DATA被引量：13: 《Acta Mathematica Scientia》2009年第3期629-641,共13页郭军肖继雄赵会江朱长江; Huijiang Zhao was supported by the National Natural Science Foundation of China (10871151);Changjiang Zhu was supported by the National Natural Science Foundation of China (10625105 and 10431060);the Program for New Century Excellent Talentsin University (NCET-04-0745); This paper is concerned with the existence of global solutions to the Cauchy problem of a hyperbolic-parabolic coupled system with large initial data. To this end, we first construct its local solutions by the standar...; 关键词：hyperbolic-parabolic coupled system local solution global solution entropy-entropy flux energy estimates

THE WELL-POSEDNESS AND ASYMPTOTICS OF MULTI-DIMENSIONAL QUANTUM HYDRODYNAMICS被引量：3: 《Acta Mathematica Scientia》2009年第3期552-568,共17页肖玲李海梁; L.H. is supported in part by the NSFC (10431060); H.L. is supported partially by the NSFC (10431060, 10871134);the Beijing Nova program (2005B48);the NCET support of the Ministry of Education of China, and the Huo Ying Dong Foundation (111033); The multi-dimensional quantum hydrodynamic equations for charge transport in ultra-small electronic devices like semiconductors, where quantum effects （like particle tunnelling through potential barriers and built-up...; 关键词：quantum hydrodynamics WELL-POSEDNESS longtime behavior small scale limit

COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY,VACUUM AND GRAVITATIONAL FORCE IN THE CASE OF GENERAL PRESSURE被引量：5: 《Acta Mathematica Scientia》2008年第4期801-817,共17页姚磊汪文军; Program for New Century ExcellentTalents in University(NCET-04-0745);the Key Project of the National Natural Science Foundation of China(10431060); This is a continuation of the article（Comm.Partial Differential Equations 26（2001）965）.In this article,the authors consider the one-dimensional compressible isentropic Navier-Stokes equations with gravitational fo...; 关键词：Compressible Navier-Stokes equations VACUUM a priori estimates a globalweak solution EXISTENCE

半导体漂移扩散模型的拟中性极限：掺杂函数变号的情形: 《中国科学（A辑）》2008年第3期286-296,共11页肖玲琚强昌王术; 国家自然科学基金(批准号：10431060，10701011，10471009，10771009);北京市自然科学基金(批准号：1052001)资助项目; 在极大模(关于空间变量一致)意义下严格地证明了含有变号的一般掺杂函数的半导体非定常漂移扩散模型的拟中性极限.此结果改进了Wang等得到的在平方可积意义下的极限.; 关键词：拟中性极限漂移扩散方程组多尺度渐近展开

具有退化粘性的非齐次双曲守恒律方程的Cauchy问题被引量：5: 《数学物理学报（A辑）》2008年第1期109-115,共7页汪兵徐学文; 国家自然科学基金重点项目(10431060);教育部科学技术研究重点项目(104128)资助; 该文讨论了如下具有退化粘性的非齐次双曲守恒律方程的Cauchy问题{u_t+f(u)_x=a^2t~αu_(xx)+g(u),x∈R,t>0,u(x,0)=u_0(x)∈L∞(R).(Ⅰ)其中f(u),g(u)是R上的光滑函数,a>0,0<α<1均为常数.在此条件下,作者首先给出了Cauchy问题(Ⅰ)的...; 关键词：双曲守恒律退化粘性极值原理 L^∞估计整体存在性

Boussinesq方程组解的正则类: 《应用数学》2007年第4期733-738,共6页李明杰; 国家自然科学基金资助项目(10431060); 本文考虑Boussinesq方程组弱解的正则类,所得结果没有给温度场加任何条件,表明温度场对Boussinesq方程组解的正则性没有坏的影响,而起重要作用的是流体速度场.得到了Boussinesq方程类似于Navier-Stokes方程Serrin类的结果.; 关键词：BOUSSINESQ方程弱解正则性

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