COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, cilt.13, sa.6, ss.2609-2639, 2014 (SCI-Expanded)
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.