TY - JOUR
T1 - Global Mild Solutions and Long Time Decay of 3D Incompressible MHD Equations
AU - Zhang , Hui
JO - Journal of Partial Differential Equations
VL - 4
SP - 343
EP - 352
PY - 2019
DA - 2019/01
SN - 31
DO - http://doi.org/10.4208/jpde.v31.n4.5
UR - https://global-sci.org/intro/article_detail/jpde/12948.html
KW - MHD equations
KW - global well-posedness
KW - Lei-Lin space.
AB - <p>We prove the global existence of a unique mild solutions to the incompressible MHD equations when the initial data are less than the viscosity coefficients in a
new critical space introduced by Lei and Lin [1]. Moreover, we prove that solutions
decay to zero as time goes to infinity.</p>