Volume no :58, Issue no: 1, July (2019)

Journal of Mathematical Sciences: Advances and Applications

ON THE ALGEBRAIC STABILITY OF A STRATIFIED FLOW TO THE 2D VISCOUS INCOMPRESSIBLE MHD EQUATIONS

Author's: Wang Yang
Pages: [33] - [52]
Received Date: June 2, 2019; Revised June 29, 2019
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100122071

Abstract

In this paper, the stability of the stratified flow of the two-dimensional viscous incompressible MHD equations is studied. The solution near certain stratified flow is stable in a strip type domain By carefully exploiting the nonlinear structure and introducing some suitable energy norms, we obtain polynomial attenuation of low-order energy, which means that the exponential stability.

Keywords

stratified flow, 2D viscous MHD equations, algebraic stability.