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 -

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.