TY - JOUR
T1 - Blow-Up Solution of the 3D Viscous Incompressible MHD System
AU - Yang , Xin-Guang
AU - Shi , Wei
AU - Lu , Yongjin
JO - Journal of Partial Differential Equations
VL - 2
SP - 109
EP - 118
PY - 2020
DA - 2020/05
SN - 33
DO - http://doi.org/10.4208/jpde.v33.n2.2
UR - https://global-sci.org/intro/article_detail/jpde/16854.html
KW - MHD equations, blow-up criteria, Lorentz space.
AB - <p style="text-align: justify;">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.</p>