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Zero-viscosity limit of the incompressible Navier-Stokes equations with sharp vorticity gradient 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 268, 期号: 10, 页码: 5855-5891
作者:  Liao, Jiajiang;  Sueur, Franck;  Zhang, Ping
收藏  |  浏览/下载:137/0  |  提交时间:2020/05/24
The Fucik spectrum of Schrodinger operator and the existence of four solutions of Schrodinger equations with jumping nonlinearities 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 卷号: 263, 期号: 10, 页码: 7000-7097
作者:  Li, Chong;  Li, Shujie
收藏  |  浏览/下载:149/0  |  提交时间:2018/07/30
Schrodinger equation  Minimax principle  Morse theory  Maximum principle  Exact homology sequences  
Analysis of an inviscid zero-Mach number system in endpoint Besov spaces for finite-energy initial data 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 卷号: 259, 期号: 10, 页码: 5074-5114
作者:  Fanelli, Francesco;  Liao, Xian
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
Zero-Mach number system  Endpoint Besov spaces  Well-posedness  Lifespan  Parabolic equations  Transport equations  
Quasineutral limit of a time-dependent drift-diffusion-Poisson model for p-n junction semiconductor devices 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 卷号: 225, 期号: 2, 页码: 411-439
作者:  Hsiao, L;  Wang, S
收藏  |  浏览/下载:105/0  |  提交时间:2018/07/30
quasineutral limit  time-dependent drift-diffusion equations  p-n junction  multiple scaling asymptotic expansions  gimel-weighted Liapunov-type functional  
Multi-bump standing waves with a critical frequency for nonlinear Schrodinger equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 卷号: 203, 期号: 2, 页码: 292-312
作者:  Cao, DM;  Noussair, ES
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
multi-bump  standing waves  variational method  nonlinear Schrodinger equation  
Sign-changing solutions and multiple solutions theorems for semilinear elliptic boundary value problems with a reaction term nonzero at zero 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 卷号: 178, 期号: 2, 页码: 298-313
作者:  Zhang, ZT;  Li, XD
收藏  |  浏览/下载:74/0  |  提交时间:2018/07/30
sign-changing solutions  Dirichlet problems  reaction term  multiple solutions  
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:79/0  |  提交时间:2018/07/30
bipolar hydrodynamic model  compensated compactness  trace of weak solutions  zero relaxation limits  
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  
Global BV solutions to a p-system with relaxation 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2000, 卷号: 162, 期号: 1, 页码: 174-198
作者:  Luo, T;  Natalini, R;  Yang, T
收藏  |  浏览/下载:82/0  |  提交时间:2018/07/30
Riemann problems for a class of coupled hyperbolic systems of conservation laws 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 1999, 卷号: 159, 期号: 2, 页码: 447-484
作者:  Yang, HC
收藏  |  浏览/下载:116/0  |  提交时间:2018/07/30
coupled hyperbolic system  delta-shock waves  generalized Rankine-Hugoniot relation  entropy condition  measure solution