TY - JOUR
T1 - A New Boundary Condition for the Three-Dimensional MHD Equation and the Vanishing Viscosity Limit.
AU - Wang , Na
AU - Wang , Shu
JO - Journal of Partial Differential Equations
VL - 2
SP - 165
EP - 188
PY - 2017
DA - 2017/05
SN - 30
DO - http://doi.org/10.4208/jpde.v30.n2.4
UR - https://global-sci.org/intro/article_detail/jpde/10004.html
KW - Incompressible MHD system
KW - a new boundary condition
KW - the general smooth domain
KW - vanishing viscosity limit
AB -  In this paper, we consider the viscous incompressible magnetohydrodynamic (MHD) system with a new boundary condition for a general smooth domain in $\mathbb{R}$<sup>3</sup>. We obtain the well-posedness of the system and the vanishing viscosity limit result.