PATTERN FORMATION AND DYNAMIC TRANSITION FOR MAGNETOHYDRODYNAMIC CONVECTION


ŞENGÜL M. T. , Wang S.

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, vol.13, no.6, pp.2609-2639, 2014 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 13 Issue: 6
  • Publication Date: 2014
  • Doi Number: 10.3934/cpaa.2014.13.2609
  • Title of Journal : COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
  • Page Numbers: pp.2609-2639

Abstract

The main objective of this paper is to describe the dynamic transition of the incompressible MHD equations in a three dimensional (3D) rectangular domain from a perspective of pattern formation. We aim to classify the formations of roll, rectangle and hexagonal patterns at the first critical Rayleigh number.