Year: 2020
Author: Xin-Guang Yang, Wei Shi, Yongjin Lu
Journal of Partial Differential Equations, Vol. 33 (2020), Iss. 2 : pp. 109–118
Abstract
The 3D viscous incompressible magneto-hydrodynamic (MHD) system comprised by the 3D incompressible viscous Navier-Stokes equation couples with Maxwell equation. The global well-posedness of the coupled system is still an open problem. In this paper, we study the Cauchy problem of this coupled system and establish some logarithmical type of blow-up criterion for smooth solution in Lorentz spaces.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v33.n2.2
Journal of Partial Differential Equations, Vol. 33 (2020), Iss. 2 : pp. 109–118
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: MHD equations blow-up criteria Lorentz space.