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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  
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
Authors:  Chen, Ke;  Quoc-Hung Nguyen;  Xu, Yiran
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Muskat problem  free boundary problem  local well-posedness  
ASYMPTOTIC TOTAL GEODESY OF LOCAL HOLOMORPHIC CURVES EXITING A BOUNDED SYMMETRIC DOMAIN AND APPLICATIONS TO A UNIFORMIZATION PROBLEM FOR ALGEBRAIC SUBSETS 期刊论文
JOURNAL OF DIFFERENTIAL GEOMETRY, 2022, 卷号: 120, 期号: 1, 页码: 1-49
Authors:  Chan, Shan Tai;  Mok, Ngaiming
Favorite  |  View/Download：79/0  |  Submit date：2022/04/02
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
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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
Authors:  Yan, Shusen;  Yu, Weilin
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The Euler flow  semilinear elliptic equation  variational method  free boundary problem  reduction  
Stability of Transonic Contact Discontinuity for Two-Dimensional Steady Compressible Euler Flows in a Finitely Long Nozzle 期刊论文
ANNALS OF PDE, 2021, 卷号: 7, 期号: 2, 页码: 96
Authors:  Huang, Feimin;  Kuang, Jie;  Wang, Dehua;  Xiang, Wei
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Transonic flow  Contact discontinuity  Free boundary  Compressible Euler flow  Finitely long nozzle  
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  
ON THE STABILITY OF TWO-DIMENSIONAL NONISENTROPIC ELASTIC VORTEX SHEETS 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 卷号: 20, 期号: 7-8, 页码: 2519-2533
Authors:  Chen, Robin ming;  Huang, F. E. I. M. I. N.;  Wang, D. E. H. U. A.;  Yuan, D. I. F. A. N.
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Vortex sheets  Elastodynamics  contact discontinuities  stability  
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
Authors:  Chen, Gui-qiang G.;  Wang, Q. I. N.;  Zhu, S. H. E. N. G. G. U. O.
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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  
STABILITY OF CONICAL SHOCKS IN THE THREE-DIMENSIONAL STEADY SUPERSONIC ISOTHERMAL FLOWS PAST LIPSCHITZ PERTURBED CONES 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 卷号: 53, 期号: 3, 页码: 2811-2862
Authors:  Chen, Gui-Qiang G.;  Kuang, Jie;  Zhang, Yongqian
Favorite  |  View/Download：81/0  |  Submit date：2021/10/26
conical shocks  structural stability  steady flow  supersonic isothermal flow  perturbed cones  Lipschitz cones  entropy solutions  BV  modified Glimm scheme  TV  Glimm-type functional  self-similar solutions  interaction estimates  reflection coefficients  free boundary  asymptotic behavior