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Maximal L-p-L-q regularity for two-phase fluid motion in the linearized Oberbeck-Boussinesq approximation

 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 322, 页码: 101-134
Authors:  Hao, Chengchun;  Zhang, Wei
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Oberbeck-Boussinesq approximation  Free boundary problem  

Maximal L-p-L-q regularity

  Resolvent estimate  
Some results on free boundary problems of incompressible ideal magnetohydrodynamics equations 期刊论文
ELECTRONIC RESEARCH ARCHIVE, 2022, 卷号: 30, 期号: 2, 页码: 404-424
Authors:  Hao, Chengchun;  Luo, Tao
Favorite  |  View/Download：46/0  |  Submit date：2023/02/07
free boundary problems  incompressible ideal magnetohydrodynamics equations  ill-posedness  linearized problem  well-posedness  
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
Authors:  Hao, Chengchun;  Luo, Tao
Favorite  |  View/Download：98/0  |  Submit date：2021/10/26
Incompressible ideal magnetohydrodynamics equations  Linearized equations  Free boundary problem  Local well-posedness  
Ill-Posedness of Free Boundary Problem of the Incompressible Ideal MHD 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2020, 卷号: 376, 期号: 1, 页码: 259-286
Authors:  Hao, Chengchun;  Luo, Tao
Favorite  |  View/Download：109/0  |  Submit date：2020/06/30
On the Motion of Free Interface in Ideal Incompressible MHD 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2017, 卷号: 224, 期号: 2, 页码: 515-553
Authors:  Hao, Chengchun
Favorite  |  View/Download：66/0  |  Submit date：2018/07/30
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
Authors:  Hao, Chengchun;  Wang, Dehua
Favorite  |  View/Download：69/0  |  Submit date：2018/07/30
Incompressible elastodynamics  Free boundary  A priori estimates  The second fundamental form  
REMARKS ON THE FREE BOUNDARY PROBLEM OF COMPRESSIBLE EULER EQUATIONS IN PHYSICAL VACUUM WITH GENERAL INITIAL DENSITIES 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2015, 卷号: 20, 期号: 9, 页码: 2885-2931
Authors:  Hao, Chengchun
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Compressible Euler equations  physical vacuum  free boundary  a priori estimates  mixed interpolation inequality  
Well-posedness to the compressible viscous magnetohydrodynamic system 期刊论文
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 卷号: 12, 期号: 6, 页码: 2962-2972
Authors:  Hao, Chengchun
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Compressible viscous MHD system  Global well-posedness  Hybrid Besov spaces  
Well-posedness for the viscous rotating shallow water equations with friction terms 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2011, 卷号: 52, 期号: 2, 页码: 12
Authors:  Hao, Chengchun
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CAUCHY PROBLEM FOR VISCOUS SHALLOW WATER EQUATIONS WITH SURFACE TENSION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2010, 卷号: 13, 期号: 3, 页码: 593-608
Authors:  Hao, Chengchun
Favorite  |  View/Download：84/0  |  Submit date：2018/07/30
Shallow water equation with surface tension  Littlewood-Paley decomp  osition  homogeneous Besov space  global-in-time solution