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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
作者:  Hao, Chengchun;  Zhang, Wei
收藏  |  浏览/下载：67/0  |  提交时间：2023/02/07
Oberbeck-Boussinesq approximation  Free boundary problem  

Maximal L-p-L-q regularity

  Resolvent estimate  
Vanishing viscosity limit of the compressible Navier-Stokes equations with finite energy and total mass 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 310, 页码: 327-361
作者:  He, Lin;  Wang, Yong
收藏  |  浏览/下载：132/0  |  提交时间：2022/04/02
Euler equations  Navier-Stokes equations  Vanishing viscosity  Compensated compactness framework  Free boundary  Density-dependent viscosity  
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  
Stability of supersonic contact discontinuity for two-dimensional steady compressible Euler flows in a finite nozzle 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 卷号: 266, 期号: 7, 页码: 4337-4376
作者:  Huang, Feimin;  Kuang, Jie;  Wang, Dehua;  Xiang, Wei
收藏  |  浏览/下载：256/0  |  提交时间：2019/03/05
Contact discontinuity  Supersonic flow  Free boundary  Compressible Euler equation  Finitely long nozzle  
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  
Uniform Holder estimate for singularly perturbed parabolic systems of Bose-Einstein condensates and competing species 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 卷号: 251, 期号: 10, 页码: 2737-2769
作者:  Dancer, E. N.;  Wang, Kelei;  Zhang, Zhitao
收藏  |  浏览/下载：109/0  |  提交时间：2018/07/30
Singular perturbation  Free boundary problem  Regularity  Liouville theorem  
On the free boundary problem to the two viscous immiscible fluids 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 卷号: 248, 期号: 5, 页码: 1044-1111
作者:  Xu, Li;  Zhang, Zhifei
收藏  |  浏览/下载：85/0  |  提交时间：2018/07/30
Navier-Stokes equations  Free boundary problem  Sobolev-Slobodetski space