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Stability of steady-state for 3-D hydrodynamic model of unipolar semiconductor with Ohmic contact boundary in hollow ball 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 277, 页码: 57-113
作者:  Mei, Ming;  Wu, Xiaochun;  Zhang, Yongqian
收藏  |  浏览/下载：147/0  |  提交时间：2021/04/26
3-Dimensional hydrodynamic model  Euler-Poisson equations  Subsonic steady-state  Asymptotic stability  Radial solutions  Weighted Sobolev spaces  
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：149/0  |  提交时间：2022/04/02
Boltzmann equation  compressible Euler equations  hydrodynamic limit  Hilbert expansion  a priori estimate  planar rarefaction wave  
Asymptotic convergence to planar stationary waves for multi-dimensional unipolar hydrodynamic model of semiconductors 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 卷号: 251, 期号: 4-5, 页码: 1305-1331
作者:  Huang, Feimin;  Mei, Ming;  Wang, Yong;  Yu, Huimin
收藏  |  浏览/下载：213/0  |  提交时间：2018/07/30
Euler-Poisson equations  Unipolar hydrodynamic model of semiconductor  Nonlinear damping  Planar stationary waves  Asymptotic convergence  Exponential decay rates  
A WELL-BALANCED SYMPLECTICITY-PRESERVING GAS-KINETIC SCHEME FOR HYDRODYNAMIC EQUATIONS UNDER GRAVITATIONAL FIELD 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2011, 卷号: 33, 期号: 5, 页码: 2356-2381
作者:  Luo, Jun;  Xu, Kun;  Liu, Na
收藏  |  浏览/下载：137/0  |  提交时间：2018/07/30
gas-kinetic scheme  hydrodynamic equations  gravitational potential  symplecticity preserving  well-balanced scheme  
On the blowing up of solutions to quantum hydrodynamic models on bounded domains 期刊论文
MONATSHEFTE FUR MATHEMATIK, 2009, 卷号: 157, 期号: 1, 页码: 37-54
作者:  Gamba, Irene M.;  Gualdani, Maria Pia;  Zhang, Ping
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
Quantum hydrodynamic equations  Blow-up of smooth solutions  
Global existence and exponential stability of smooth solutions to a full hydrodynamic model to semiconductors 期刊论文
MONATSHEFTE FUR MATHEMATIK, 2002, 卷号: 136, 期号: 4, 页码: 269-285
作者:  Hsiao, L;  Jiang, S;  Zhang, P
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
hydrodynamic semiconductor equations  global existence  large-time behavior