文献类型：期刊文献

英文题名：Global Classical Solutions of Three Dimensional Viscous MHD System Without Magnetic Diffusion on Periodic Boxes

作者：Pan, Ronghua[1];Zhou, Yi[2];Zhu, Yi[3]

机构：[1]Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA;[2]Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China;[3]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2018

卷号：227

期号：2

起止页码：637

外文期刊名：ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000419122300005)】；

基金：The authors are grateful to the careful reviewers for their constructive comments. The first author is partially supported by NSF under Grant DMS-1516415. The second author is supported by Key Laboratory of Mathematics for Nonlinear Sciences (Fudan University), Ministry of Education of China, Shanghai, Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, NSFC under Grant No. 11421061, the 973 Program (Grant No. 2013CB834100) and the 111 project.

语种：英文

摘要：In this paper, we study the global existence of classical solutions to the three dimensional incompressible viscous magneto-hydrodynamical system without magnetic diffusion on periodic boxes, that is, with periodic boundary conditions. We work in Eulerian coordinates and employ a time-weighted energy estimate to prove the global existence result, under the assumptions that the initial magnetic field is close enough to an equilibrium state and the initial data have some symmetries.