2010/05/18 by Taylan Şengül, Şengül, Taylan
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #math.AP #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.1005.3218
This article is replaced by a newer version. See arXiv:1105.0964v1
arxiv created 2011/05/16 · arxiv updated 2011/05/17
Main objective of this paper is to describe the dynamic transition of the incompressible MHD equations in a rectangular domain in ℝ3. Our analysis shows that the system undergoes a first dynamic transition either to multiple equilibria or to periodic solutions. In the case of transition to multiple equilibria, the transition is a type-I (continuous) transition. In the case of transition to periodic solutions, the transition can be either type-I or type-II (jump).