Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 41, Issue -, Pages 53-65Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2017.10.006
Keywords
Almost resistive MHD equations; Global regularity; Nonlinear maximal principles
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Funding
- National Natural Science Foundation of China [11471103, 11626088]
- Doctoral Foundation of Henan Polytechnic University [B2016-61]
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Whether or not the solution to 2D resistive MHD equations is globally smooth remains open. This paper establishes the global regularity of solutions to the 2D almost resistive MHD equations, which require the dissipative operators L weaker than any power of the fractional Laplacian by taking advantage of nonlinear maximum principles. The result is an improvement of the one of Fan et al. (2014) which ask for alpha > 0, beta = 1. (C) 2017 Elsevier Ltd. All rights reserved.
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