Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 261, Issue 1, Pages 102-112Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2016.03.002
Keywords
MHD; Global smooth solution; Beltrami flow
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Funding
- Key Laboratory of Mathematics for Nonlinear Sciences (Fudan University), Ministry of Education of the People's Republic of China
- Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, PR China
- NSFC [11421061]
- 973 Program [2013CB834100]
- 111 project
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In this paper, we establish the global existence of smooth solutions of the three-dimensional MHD system for a class of large initial data. Both the initial velocity and magnetic field can be arbitrarily large in the critical norm. (C) 2016 Elsevier Inc. All rights reserved.
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