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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
Authors:  Hao, Chengchun;  Luo, Tao
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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
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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
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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
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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
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Shallow water equation with surface tension  Littlewood-Paley decomp  osition  homogeneous Besov space  global-in-time solution  
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
Authors:  Hao, Chengchun;  Hsiao, Ling;  Li, Hai-Liang
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Viscous compressible rotating shallow water system  Cauchy problem  Global well-posedness  Besov spaces  
Global existence for compressible Navier-Stokes-Poisson equations in three and higher dimensions 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 卷号: 246, 期号: 12, 页码: 4791-4812
Authors:  Hao, Chengchun;  Li, Hai-Liang
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Compressible Navier-Stokes-Poisson equations  Global existence and uniqueness  Hybrid Besov spaces