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HYDRODYNAMIC LIMIT OF THE BOLTZMANN EQUATION TO THE PLANAR RAREFACTION WAVE IN THREE DIMENSIONAL SPACE 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 卷号: 53, 期号: 4, 页码: 4692-4726
作者:  Wang, Guanfa;  Wang, Yong;  Zhou, Jiawei
收藏  |  浏览/下载：114/0  |  提交时间：2022/04/02
Boltzmann equation  compressible Euler equations  hydrodynamic limit  Hilbert expansion  a priori estimate  planar rarefaction wave  
LARGE TIME BEHAVIOR AND QUASINEUTRAL LIMIT OF SOLUTIONS TO A BIPOLAR HYDRODYNAMIC MODEL WITH LARGE DATA AND VACUUM 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2009, 卷号: 24, 期号: 2, 页码: 455-470
作者:  Huang, Feimin;  Li, Yeping
收藏  |  浏览/下载：126/0  |  提交时间：2018/07/30
Bipolar hydrodynamic model  large time behavior  quasineutral limit  entropy solution  energy estimates  
THE WELL-POSEDNESS AND ASYMPTOTICS OF MULTI-DIMENSIONAL QUANTUM HYDRODYNAMICS 期刊论文
ACTA MATHEMATICA SCIENTIA, 2009, 卷号: 29, 期号: 3, 页码: 552-568
作者:  Hsiao Ling;  Li Hailiang
收藏  |  浏览/下载：118/0  |  提交时间：2018/07/30
quantum hydrodynamics  well-posedness  longtime behavior  small scale limit  
The relaxation limits to the bipolar hydrodynamic model for semiconductors 期刊论文
APPLIED MATHEMATICS LETTERS, 2004, 卷号: 17, 期号: 1, 页码: 95-100
作者:  Ling, H;  Mauser, NJ;  Zhang, KJ
收藏  |  浏览/下载：80/0  |  提交时间：2018/07/30
semiconductors  bipolar hydrodynamic model  zero relaxation limits  
On the hydrodynamic limit of Ginzburg-Landau wave vortices 期刊论文
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2002, 卷号: 55, 期号: 7, 页码: 831-856
作者:  Lin, FH;  Zhang, P
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
On the relaxation limits of the hydrodynamic model for semiconductor devices 期刊论文
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2002, 卷号: 12, 期号: 3, 页码: 333-363
作者:  Qiu, YC;  Zhang, KJ
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
global weak solution  trace of weak solution  relaxation limit  compensated compactness  Godunov scheme  semiconductor hydrodynamic model  
On the initial-boundary value problem for the bipolar hydrodynamic model for semiconductors 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 卷号: 171, 期号: 2, 页码: 251-293
作者:  Zhang, KJ
收藏  |  浏览/下载：78/0  |  提交时间：2018/07/30
bipolar hydrodynamic model  compensated compactness  trace of weak solutions  zero relaxation limits  
The asymptotic behavior of global smooth solutions to the macroscopic models for semiconductors 期刊论文
CHINESE ANNALS OF MATHEMATICS SERIES B, 2001, 卷号: 22, 期号: 2, 页码: 195-210
作者:  Hsiao, L;  Wang, S
收藏  |  浏览/下载：78/0  |  提交时间：2018/07/30
hydrodynamic model  semiconductors  asymptotic behavior  global smooth solution  zero relaxation limit  
The global weak solution and relaxation limits of the initial-boundary value problem to the bipolar hydrodynamic model for semiconductors 期刊论文
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2000, 卷号: 10, 期号: 9, 页码: 1333-1361
作者:  Hsiao, L;  Zhang, KJ
收藏  |  浏览/下载：96/0  |  提交时间：2018/07/30
The relaxation of the hydrodynamic model for semiconductors to the drift-diffusion equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2000, 卷号: 165, 期号: 2, 页码: 315-354
作者:  Hsiao, L;  Zhang, KJ
收藏  |  浏览/下载：87/0  |  提交时间：2018/07/30
hydrodynamic model  global weak solution  zero relaxation limit  traces of weak solutions  compensated compactness  Godunov scheme