Conditional Regularity of Weak Solutions to the 3D Magnetic Bénard Fluid System  

作　　者：MA Liangliang 

机构地区：[1]Department of Applied Mathematics,Chengdu University of Technology,Chengdu 610059,China

出　　处：《Journal of Partial Differential Equations》2021年第2期144-169,共26页偏微分方程（英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.11571243,11971331),China Scholarship Council(No.202008515084);Opening Fund of Geomathematics Key Laboratory of Sichuan Province(No.scsxdz2020zd02);Teacher's development Scientific Research Staring Foundation of Chengdu University of Technology(No.10912-KYQD2019-07717).

摘　　要：This paper concerns about the regularity conditions of weak solutions to the magnetic Benard fluid system in R^(3).We show that a weak solution(u,b,θ)(·,t)of the 3D magnetic Benard fluid system defined in[0,T),which satisfies some regularity requirement as(u,b,θ),is regular in R^(3)x(0,T)and can be extended as a C∞solution beyond T.

关 键 词：Magnetic Benard fluid system regularity criteria conditional regularity Morrey-Campanato space Besov space 

分 类 号：O17[理学—数学]