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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  
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：56/0  |  提交时间：2023/02/07
Muskat problem  free boundary problem  local well-posedness  
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
作者:  Hao, Chengchun;  Luo, Tao
收藏  |  浏览/下载：97/0  |  提交时间：2023/02/07
free boundary problems  incompressible ideal magnetohydrodynamics equations  ill-posedness  linearized problem  well-posedness  
PLANAR VORTICES IN A BOUNDED DOMAIN WITH A HOLE 期刊论文
ELECTRONIC RESEARCH ARCHIVE, 2021, 卷号: 29, 期号: 6, 页码: 4229-4241
作者:  Yan, Shusen;  Yu, Weilin
收藏  |  浏览/下载：133/0  |  提交时间：2022/04/02
The Euler flow  semilinear elliptic equation  variational method  free boundary problem  reduction  
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 SOLUTIONS OF A TWO-DIMENSIONAL RIEMANN PROBLEM FOR THE PRESSURE GRADIENT SYSTEM 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 卷号: 20, 期号: 7-8, 页码: 2475-2503
作者:  Chen, Gui-qiang G.;  Wang, Q. I. N.;  Zhu, S. H. E. N. G. G. U. O.
收藏  |  浏览/下载：141/0  |  提交时间：2021/10/26
Two-dimensional Riemann problems  global solutions  pressure gradient system  Euler equations  hyperbolic conservation laws  mixed type  degenerate elliptic equations  shocks  transonic shock  vortex sheets  free boundary problem  
Limit Configurations of Schrodinger Systems Versus Optimal Partition for the Principal Eigenvalue of Elliptic Systems 期刊论文
ADVANCED NONLINEAR STUDIES, 2019, 卷号: 19, 期号: 4, 页码: 693-715
作者:  Luo, Haijun;  Zhang, Zhitao
收藏  |  浏览/下载：155/0  |  提交时间：2020/05/24
Schrodinger System  Almgren's Monotonicity Formula  Optimal Partition  Free Boundary Problem  
Supersonic flow onto solid wedges, multidimensional shock waves and free boundary problems 期刊论文
SCIENCE CHINA-MATHEMATICS, 2017, 卷号: 60, 期号: 8, 页码: 1353-1370
作者:  Chen, Gui-Qiang
收藏  |  浏览/下载：126/0  |  提交时间：2018/07/30
shock wave  free boundary  wedge problem  transonic  mixed type  Euler equations  static stability  dynamic stability  
Stability and asymptotic behavior of transonic flows past wedges for the full Euler equations 期刊论文
INTERFACES AND FREE BOUNDARIES, 2017, 卷号: 19, 期号: 4, 页码: 591-626
作者:  Chen, Gui-Qiang G.;  Chen, Jun;  Feldman, Mikhail
收藏  |  浏览/下载：121/0  |  提交时间：2018/07/30
Shock wave  free boundary  wedge problem  steady  supersonic  subsonic  transonic  mixed type  composite type  hyperbolic-elliptic  full Euler equations  physical admissible  existence  stability  asymptotic behavior  decay rate  
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