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Local Well-posedness of the Derivative Schrodinger Equation in Higher Dimension for Any Large Data 期刊论文
CHINESE ANNALS OF MATHEMATICS SERIES B, 2022, 卷号: 43, 期号: 6, 页码: 977-998
Authors:  Guo, Boling;  Huo, Zhaohui
Favorite  |  View/Download:53/0  |  Submit date:2023/02/07
Well-posedness  Derivative Schrodinger equation in higher dimension  Short-time X-s,X-b  Large initial data  

On the dynamics of the roots of polynomials under differentiation

期刊论文

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2022, 卷号: 162, 页码: 1-22
Authors:  Alazard, Thomas;  Lazar, Omar;  Nguyen, Quoc Hung
Favorite  |  View/Download:62/0  |  Submit date:2023/02/07
Transport equations  Nonlocal operators  Well-posedness  Regularity  
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
Favorite  |  View/Download:55/0  |  Submit date:2023/02/07
Muskat problem  free boundary problem  local well-posedness  
A sine-type Camassa-Holm equation: local well-posedness, Holder continuity, and wave-breaking analysis 期刊论文
MONATSHEFTE FUR MATHEMATIK, 2022, 页码: 38
Authors:  Qin, Guoquan;  Yan, Zhenya;  Guo, Boling
Favorite  |  View/Download:116/0  |  Submit date:2022/04/02
Sine-type Camassa-Holm equation  Well-posedness  Holder continuity  Blow-up criterion and quantity  Wave breaking  
The Cauchy Problem and Multi-peakons for the mCH-Novikov-CH Equation with Quadratic and Cubic Nonlinearities 期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2022, 页码: 60
Authors:  Qin, Guoquan;  Yan, Zhenya;  Guo, Boling
Favorite  |  View/Download:121/0  |  Submit date:2022/04/02
mCH-Novikov-CH equation  Wave breaking  Local well-posedness  Holder continuity  Non-periodic and periodic peakon and multi-peakon solutions  
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:150/0  |  Submit date:2021/10/26
Incompressible ideal magnetohydrodynamics equations  Linearized equations  Free boundary problem  Local well-posedness  
Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2020, 卷号: 54, 期号: 6, 页码: 2229-2264
Authors:  Gong, Wei;  Hu, Weiwei;  Mateos, Mariano;  Singler, John R.;  Zhang, Yangwen
Favorite  |  View/Download:143/0  |  Submit date:2021/01/14
Tangential Dirichlet boundary control  Stokes equations  hybridizable discontinuous Galerkin method  
The null-timelike boundary problems of linear wave equations in asymptotically anti-de Sitter spacetime 期刊论文
Classical and Quantum Gravity, 2020, 卷号: 37, 期号: 16
Authors:  Zhang,Lin;  Wu,Xiaoning
Favorite  |  View/Download:158/0  |  Submit date:2020/09/23
initial-boundary value problem  asymptotic AdS space-time  linear wave equation  
Analysis of a time-dependent fluid-solid interaction problem above a local rough surface 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 卷号: 63, 期号: 5, 页码: 887-906
Authors:  Wei, Changkun;  Yang, Jiaqing
Favorite  |  View/Download:124/0  |  Submit date:2020/09/23
well-posedness  stability  a priori estimate  fluid-solid interaction  Laplace transform  local rough surface  
On local strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with vacuum 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 页码: 18
Authors:  Huang, Xiangdi
Favorite  |  View/Download:129/0  |  Submit date:2020/05/24
compressible Navier-Stokes equations  vacuum  strong solutions  classical solutions