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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  
Global stability of Boltzmann equation with large external potential for a class of large oscillation data 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 卷号: 267, 期号: 6, 页码: 3610-3645
作者:  Wang, Guanfa;  Wang, Yong
收藏  |  浏览/下载:186/0  |  提交时间:2020/01/10
Boltzmann equation  Global well-posedness  Large-amplitude initial data  Large external potential  A priori estimate  
Optimal regularity of stochastic evolution equations in M-type 2 Banach space 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 卷号: 267, 期号: 3, 页码: 1955-1971
作者:  Hong, Jialin;  Huang, Chuying;  Liu, Zhihui
收藏  |  浏览/下载:183/0  |  提交时间:2020/01/10
Stochastic evolution equation  Multiplicative noise  Well-posedness  Trajectory regularity  Factorization method  
Low regularity for the fifth order Kadomtsev-Petviashvili-I type equation 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 卷号: 263, 期号: 9, 页码: 5696-5726
作者:  Guo, Boling;  Huo, Zhaohui;  Fang, Shaomei
收藏  |  浏览/下载:125/0  |  提交时间:2018/07/30
Well-posedness  Fifth order Kadomtsev-Petviashvili-I equation  Dyadic X-s,X-b spaces  
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:109/0  |  提交时间:2018/07/30
Zero-Mach number system  Endpoint Besov spaces  Well-posedness  Lifespan  Parabolic equations  Transport equations  
Well-posedness and regularity of Naghdi's shell equation under boundary control and observation 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 卷号: 249, 期号: 12, 页码: 3174-3214
作者:  Chai, Shugen;  Guo, Bao-Zhu
收藏  |  浏览/下载:92/0  |  提交时间:2018/07/30
Naghdi's shell model  Well-posedness  Regularity  Boundary control and observation  
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  
Global well-posedness for the generalized 2D Ginzburg-Landau equation 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 卷号: 247, 期号: 1, 页码: 260-276
作者:  Huo, Zhaohui;  Jia, Yueling
收藏  |  浏览/下载:99/0  |  提交时间:2018/07/30
Generalized 2D Ginzburg-Landau equation  Local well-posedness  Global well-posedness  [k  Z]-multiplier method  
Well-posedness for the fifth-order shallow water equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 卷号: 246, 期号: 6, 页码: 2448-2467
作者:  Jia, Yueling;  Huo, Zhaohui
收藏  |  浏览/下载:103/0  |  提交时间:2018/07/30
Fifth-order shallow water equations  Fourier restriction norm  Bilinear estimates  Trilinear estimates  Local well-posedness  
Well-posedness for two-dimensional steady supersonic Euler flows past a Lipschitz wedge 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 卷号: 244, 期号: 6, 页码: 1521-1550
作者:  Chen, Gui-Qiang;  Li, Tian-Hong
收藏  |  浏览/下载:96/0  |  提交时间:2018/07/30
well-posedness  wave front tracking  supersonic flow  Euler flow  wedge