Bifurcation and Stability of Two-Dimensional Double-Diffusive Convection
Atmospheric and Oceanic Physics
2010-05-14 v1 Fluid Dynamics
Abstract
In this article, we present a bifurcation and stability analysis on the double-diffusive convection. The main objective is to study 1) the mechanism of the saddle-node bifurcation and hysteresis for the problem, 2) the formation, stability and transitions of the typical convection structures, and 3) the stability of solutions. It is proved in particular that there are two different types of transitions: continuous and jump, which are determined explicitly using some physical relevant nondimensional parameters. It is also proved that the jump transition always leads to the existence of a saddle-node bifurcation and hysteresis phenomena.
Keywords
Cite
@article{arxiv.physics/0611111,
title = {Bifurcation and Stability of Two-Dimensional Double-Diffusive Convection},
author = {Chun-Hsiung Hsia and Tian Ma and Shouhong Wang},
journal= {arXiv preprint arXiv:physics/0611111},
year = {2010}
}