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THE MUSKAT PROBLEM WITH C-1 DATA 期刊论文
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 卷号: 375, 期号: 5, 页码: 3039-3060
作者:  Chen, Ke;  Quoc-Hung Nguyen;  Xu, Yiran
收藏  |  浏览/下载:55/0  |  提交时间:2023/02/07
Muskat problem  free boundary problem  local well-posedness  
The Cauchy Problem and Multi-peakons for the mCH-Novikov-CH Equation with Quadratic and Cubic Nonlinearities 期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2022, 页码: 60
作者:  Qin, Guoquan;  Yan, Zhenya;  Guo, Boling
收藏  |  浏览/下载:121/0  |  提交时间:2022/04/02
mCH-Novikov-CH equation  Wave breaking  Local well-posedness  Holder continuity  Non-periodic and periodic peakon and multi-peakon solutions  
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:150/0  |  提交时间:2021/10/26
Incompressible ideal magnetohydrodynamics equations  Linearized equations  Free boundary problem  Local well-posedness  
Analysis of a time-dependent fluid-solid interaction problem above a local rough surface 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 卷号: 63, 期号: 5, 页码: 887-906
作者:  Wei, Changkun;  Yang, Jiaqing
收藏  |  浏览/下载:125/0  |  提交时间:2020/09/23
well-posedness  stability  a priori estimate  fluid-solid interaction  Laplace transform  local rough surface  
Analysis of a time-dependent uid-solid interaction problem above a local rough surface 期刊论文
Science China. Mathematics, 2020, 卷号: 63, 期号: 5, 页码: 887-906
作者:  Wei Changkun;  Yang Jiaqing
收藏  |  浏览/下载:126/0  |  提交时间:2021/01/14
well-posedness  stability  a priori estimate  fluid-solid interaction  Laplace transform  local rough surface  
On the Cauchy problem for the two-component Camassa-Holm system 期刊论文
MATHEMATISCHE ZEITSCHRIFT, 2011, 卷号: 268, 期号: 1-2, 页码: 45-66
作者:  Gui, Guilong;  Liu, Yue
收藏  |  浏览/下载:121/0  |  提交时间:2018/07/30
Besov spaces  Blow-up  Local well-posedness  Two-component Camassa-Holm system  Wave-breaking  
Local well-posedness of the viscous rotating shallow water equations with a term of capillarity 期刊论文
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2010, 卷号: 90, 期号: 6, 页码: 489-501
作者:  Wu, Gang;  Zhang, Bo
收藏  |  浏览/下载:117/0  |  提交时间:2018/07/30
Rotating shallow water equations  capillarity  Fourier localization  local well-posedness  
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 one-dimensional derivative nonlinear Schrodinger equations 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2007, 卷号: 6, 期号: 4, 页码: 997-1021
作者:  Hao, Chengchun
收藏  |  浏览/下载:76/0  |  提交时间:2018/07/30
derivative nonlinear Schrodinger equations  Cauchy problem  local well-posedness