@Article{JPDE-33-109, author = {Yang , Xin-GuangShi , Wei and Lu , Yongjin}, title = {Blow-Up Solution of the 3D Viscous Incompressible MHD System}, journal = {Journal of Partial Differential Equations}, year = {2020}, volume = {33}, number = {2}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v33.n2.2}, url = {http://global-sci.org/intro/article_detail/jpde/16854.html} }