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Global Existence of Strong and Weak Solutions to 2D Compressible Navier-Stokes System in Bounded Domains with Large Data and Vacuum 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2022, 页码: 40
作者:  Fan, Xinyu;  Li, Jiaxu;  Li, Jing
收藏  |  浏览/下载:90/0  |  提交时间:2023/02/07
Global Solutions of the Compressible Euler Equations with Large Initial Data of Spherical Symmetry and Positive Far-Field Density 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2022, 卷号: 243, 期号: 3, 页码: 1699-1771
作者:  Chen, Gui-Qiang G.;  Wang, Yong
收藏  |  浏览/下载:117/0  |  提交时间:2022/04/02
THE NUMBER OF POSITIVE SOLUTIONS TO THE BREZIS-NIRENBERG PROBLEM 期刊论文
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 卷号: 374, 期号: 3, 页码: 1947-1985
作者:  Cao, Daomin;  Luo, Peng;  Peng, Shuangjie
收藏  |  浏览/下载:167/0  |  提交时间:2021/04/26
Critical Sobolev exponent  local Pohozaev identity  existence of solutions  exact number of solutions  Green's function  
STOCHASTIC HEAT EQUATIONS FOR INFINITE STRINGS WITH VALUES IN A MANIFOLD 期刊论文
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 卷号: 374, 期号: 1, 页码: 407-452
作者:  Chen, Xin;  Wu, Bo;  Zhu, Rongchan;  Zhu, Xiangchan
收藏  |  浏览/下载:141/0  |  提交时间:2021/04/26
Stochastic heat equation  Ricci Curvature  functional inequality  quasi-regular Dirichlet form  infinite volume  
Existence of optical vortices in R-2 期刊论文
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 卷号: 50, 页码: 67-85
作者:  Guo, Qing;  Cao, Daomin;  Li, Hang
收藏  |  浏览/下载:195/0  |  提交时间:2020/01/10
Optical vortices  Variational methods  Concentration compactness  Nodal solutions  
Effects of Soft Interaction and Non-isothermal Boundary Upon Long-Time Dynamics of Rarefied Gas 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2019, 卷号: 234, 期号: 2, 页码: 925-1006
作者:  Duan, Renjun;  Huang, Feimin;  Wang, Yong;  Zhang, Zhu
收藏  |  浏览/下载:360/0  |  提交时间:2020/01/10
Local uniqueness for vortex patch problem in incompressible planar steady flow 期刊论文
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2019, 卷号: 131, 页码: 251-289
作者:  Cao, Daomin;  Guo, Yuxia;  Peng, Shuangjie;  Yan, Shusen
收藏  |  浏览/下载:164/0  |  提交时间:2020/05/24
Uniqueness  Vortex parch  Steady solutions  Euler equation  
Global entropy solutions to multi-dimensional isentropic gas dynamics with spherical symmetry 期刊论文
NONLINEARITY, 2019, 卷号: 32, 期号: 11, 页码: 4505-4523
作者:  Huang, Feimin;  Li, Tianhong;  Yuan, Difan
收藏  |  浏览/下载:185/0  |  提交时间:2020/05/24
isentropic gas  compensated compactness  uniform estimate  
The Boltzmann equation with large-amplitude initial data in bounded domains 期刊论文
ADVANCES IN MATHEMATICS, 2019, 卷号: 343, 页码: 36-109
作者:  Duan, Renjun;  Wang, Yong
收藏  |  浏览/下载:238/0  |  提交时间:2019/03/05
Boltzmann equation  Global well-posedness  Bounded domain  Large-amplitude initial data  Diffuse reflection boundary  A priori estimate  
The Boltzmann Equation with Time-periodic Boundary Temperature 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2019, 卷号: 35, 期号: 1, 页码: 174-208
作者:  Duan, Renjun;  Wang, Yong;  Zhang, Zhu
收藏  |  浏览/下载:193/0  |  提交时间:2020/01/10
Boltzmann equation  time-periodic boundary  time-periodic solutions  existence  dynamical stability  a priori estimates