国家自然科学基金(10701011)

作品数：7被引量：11H指数：2
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相关作者：琚强昌肖玲王术更多>>
相关机构：北京应用物理与计算数学研究所中国科学院数学与系统科学研究院北京工业大学更多>>
相关期刊：《Science China Mathematics》《Acta Mathematica Sinica,English Series》《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》更多>>
相关主题：ISENTROPICBIPOLARRALEQUATIONSPRESSURE更多>>
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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 
SEMICLASSICAL LIMIT FOR BIPOLAR QUANTUM DRIFT-DIFFUSION MODEL被引量：4
《Acta Mathematica Scientia》2009年第2期285-293,共9页琚强昌 陈丽 
Supported by NSFC (10541001, 10571101, 10401019, and 10701011);by Basic Research Foundation of Tsinghua University
Semiclassical limit to the solution of transient bipolar quantum drift-diffusion model in semiconductor simulation is discussed. It is proved that the semiclassical limit of this solution satisfies the classical bipol...
关键词：Quantum drift-diffusion weak solution semiclassical limit BIPOLAR 
The Incompressible Limits of Compressible Navier-Stokes Equations in the Whole Space with General Initial Data
《Chinese Annals of Mathematics,Series B》2009年第1期17-26,共10页Ling HSIAO Qiangchang JU Fucai LI 
supported by the National Natural Science Foundation of China (Nos. 10431060, 10701011,10501047) ;the Nanjing University Talent Development Foundation
It is showed that, as the Mach number goes to zero, the weak solution of the compressible Navier-Stokes equations in the whole space with general initial data converges to the strong solution of the incompressible Nav...
关键词：Compressible Navier-Stokes equations Incompressible Navier-Stokes equations Low Mach number limit Modulated energy functional Strichartz＇s estimate 
The Semiclassical Limit in the Quantum Drift-Diffusion Model
《Acta Mathematica Sinica,English Series》2009年第2期253-264,共12页Qiang Chang JU 
Supported by NSFC (10541001,10701011)
Semiclassical limit to the solution of isentropic quantum drift-diffusion model in semicon- ductor simulation is discussed. It is proved that the semiclassical limit of this solution satisfies the classical drift-diff...
关键词：quantum drift-diffusion weak solution semiclassical limit ISENTROPIC 
Quasi-neutral limit of the drift-diffusion model for semiconductors with general sign-changing doping profile被引量：1
《Science China Mathematics》2008年第9期1619-1630,共12页HSIAO Ling 
supported by the National Natural Science Foundation of China (Grant Nos. 10431060, 10701011,10771009);Beijing Science Foundation of China (Grant No. 1082001)
The quasi-neutral limit of time-dependent drift diffusion model with general sign-changing doping profile is justified rigorously in super-norm (i.e., uniformly in space). This improves the spatial square norm limit b...
关键词：quasi-neutral limit drift-diffusion equations multiple scaling asymptotic expansions 35B25 35B40 35K57 
The Semiclassical Limit in the Quantum Drift-Diffusion Equations with Isentropic Pressure被引量：6
《Chinese Annals of Mathematics,Series B》2008年第4期369-384,共16页Li CHEN Qiangchang JU 
the National Natural Science Foundation of China(Nos.10401019,10701011,10541001)
The semiclassical limit in the transient quantum drift-diffusion equations with isentropic pressure in one space dimension is rigorously proved. The equations are supplemented with homogeneous Neumann boundary conditi...
关键词：Quantum drift-diffusion Weak solution Semiclassical limit ISENTROPIC 
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 
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