Two-Dimensional Infinite Prandtl Number Convection: Structure of Bifurcated Solutions

Abstract. This paper examines the bifurcation and structure of the bifurcated solutions of the two-dimensional infinite Prandtl number convection problem. The existence of a bifurcation from the trivial solution to an attractor ΣR was proved by Park [14]. We prove in this paper that the bifurcated attractor ΣR consists of only one cycle of steady state solutions and

• Type: Journal
• Year: 2007
• Where: JNS
• Authors: Jungho Park
• Keywords: Attractor Σr, Bifurcated Solutions, JNS 2007, Number Convection Problem