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Enhanced dissipation for the third component of 3D anisotropic Navier-Stokes equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 335, 页码: 464-496
作者:  Xu, Li;  Zhang, Ping
收藏  |  浏览/下载:56/0  |  提交时间:2023/02/07
Anisotropic Navier-Stokes equations  Littlewood-Paley theory  Large time behavior  
Well-posedness for the linearized free boundary problem of incompressible ideal magnetohydrodynamics equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 299, 页码: 542-601
作者:  Hao, Chengchun;  Luo, Tao
收藏  |  浏览/下载:151/0  |  提交时间:2021/10/26
Incompressible ideal magnetohydrodynamics equations  Linearized equations  Free boundary problem  Local well-posedness  
Rotating vortex patches for the planar Euler equations in a disk 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 275, 页码: 509-532
作者:  Cao, Daomin;  Wan, Jie;  Wang, Guodong;  Zhan, Weicheng
收藏  |  浏览/下载:149/0  |  提交时间:2021/04/26
Vortex patch  Euler equations  Variational analysis  Nonlinear orbital stability  
Desingularization of vortex rings in 3 dimensional Euler flows 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 270, 页码: 1258-1297
作者:  Cao, Daomin;  Wan, Jie;  Zhan, Weicheng
收藏  |  浏览/下载:187/0  |  提交时间:2021/01/14
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:165/0  |  提交时间:2020/05/24
A priori estimates for the free boundary problem of incompressible neo-Hookean elastodynamics 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 卷号: 261, 期号: 1, 页码: 712-737
作者:  Hao, Chengchun;  Wang, Dehua
收藏  |  浏览/下载:97/0  |  提交时间:2018/07/30
Incompressible elastodynamics  Free boundary  A priori estimates  The second fundamental form  
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:124/0  |  提交时间:2018/07/30
Inviscid MHD system  Anisotropic Littlewood-Paley theory  Dissipative estimates  Lagrangian coordinates  
Cauchy problem for viscous rotating shallow water equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 卷号: 247, 期号: 12, 页码: 3234-3257
作者:  Hao, Chengchun;  Hsiao, Ling;  Li, Hai-Liang
收藏  |  浏览/下载:106/0  |  提交时间:2018/07/30
Viscous compressible rotating shallow water system  Cauchy problem  Global well-posedness  Besov spaces  
On the regularity criteria for weak solutions to the magnetohydrodynamic equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 卷号: 238, 期号: 1, 页码: 1-17
作者:  He, Cheng;  Wang, Yun
收藏  |  浏览/下载:115/0  |  提交时间:2018/07/30
magnetohydrodynamics equations  regularity criteria  
On the regularity of weak solutions to the magnetohydrodynamic equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2005, 卷号: 213, 期号: 2, 页码: 235-254
作者:  He, C;  Xin, ZP
收藏  |  浏览/下载:102/0  |  提交时间:2018/07/30
magnetohydrodynamics equations  regularity criteria