A New Boundary Condition for the Three-Dimensional MHD Equation and the Vanishing Viscosity Limit.

A New Boundary Condition for the Three-Dimensional MHD Equation and the Vanishing Viscosity Limit.

Year:    2017

Author:    Na Wang, Shu Wang

Journal of Partial Differential Equations, Vol. 30 (2017), Iss. 2 : pp. 165–188

Abstract

In this paper, we consider the viscous incompressible magnetohydrodynamic (MHD) system with a new boundary condition for a general smooth domain in $\mathbb{R}$3. We obtain the well-posedness of the system and the vanishing viscosity limit result.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v30.n2.4

Journal of Partial Differential Equations, Vol. 30 (2017), Iss. 2 : pp. 165–188

Published online:    2017-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    24

Keywords:    Incompressible MHD system

Author Details

Na Wang

Shu Wang