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Asymptotic stability of the combination of a viscous contact wave with two rarefaction waves for 1-D Navier-Stokes equations under periodic perturbations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 卷号: 346, 页码: 254-276
作者:  Liu, Lingjun;  Wang, Danli;  Xu, Lingda
收藏  |  浏览/下载：118/0  |  提交时间：2023/02/07
Navier-Stokes equations  Composite wave  Periodic perturbation  
Vanishing viscosity limit of the compressible Navier-Stokes equations with finite energy and total mass 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 310, 页码: 327-361
作者:  He, Lin;  Wang, Yong
收藏  |  浏览/下载：136/0  |  提交时间：2022/04/02
Euler equations  Navier-Stokes equations  Vanishing viscosity  Compensated compactness framework  Free boundary  Density-dependent viscosity  
Global small analytic solutions of MHD boundary layer equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 281, 页码: 199-257
作者:  Liu, Ning;  Zhang, Ping
收藏  |  浏览/下载：144/0  |  提交时间：2021/04/26
MHD Prandtl system  Littlewood-Paley theory  Analytic energy estimate  
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：117/0  |  提交时间：2021/04/26
3-Dimensional hydrodynamic model  Euler-Poisson equations  Subsonic steady-state  Asymptotic stability  Radial solutions  Weighted Sobolev spaces  
Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional full compressible Navier-Stokes equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 269, 期号: 4, 页码: 3160-3195
作者:  Li, Xing;  Li, Lin-An
收藏  |  浏览/下载：147/0  |  提交时间：2020/06/30
Euler equations  Planar rarefaction wave  Hyperbolic wave  Vanishing viscosity  Navier-Stokes equations  
Nonlinear stability of large amplitude viscous shock wave for general viscous gas 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 269, 期号: 2, 页码: 1226-1242
作者:  He, Lin;  Huang, Feimin
收藏  |  浏览/下载：161/0  |  提交时间：2020/06/30
Energy and cross-helicity conservation for the three-dimensional ideal MHD equations in a bounded domain 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 268, 期号: 8, 页码: 4079-4101
作者:  Wang, Yi;  Zuo, Bijun
收藏  |  浏览/下载：167/0  |  提交时间：2020/05/24
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  
Global small solutions of 2-D incompressible MHD system 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 卷号: 259, 期号: 10, 页码: 5440-5485
作者:  Lin, Fanghua;  Xu, Li;  Zhang, Ping
收藏  |  浏览/下载：127/0  |  提交时间：2018/07/30
Inviscid MHD system  Anisotropic Littlewood-Paley theory  Dissipative estimates  Lagrangian coordinates  
Time decay rates for the equations of the compressible heat-conductive flow through porous media 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 卷号: 259, 期号: 9, 页码: 4707-4731
作者:  Chen, Qing;  Tan, Zhong;  Wu, Guochun
收藏  |  浏览/下载：119/0  |  提交时间：2018/07/30
Compressible flow  Energy method  Optimal decay rates