Stability Criteria for Reaction-Diffusion Systems with Skew-Gradient Structure
Chao-Nien Chen, Xijun Hu · Communications in Partial Differential Equations · 2008
This paper deals with reaction-diffusion systems with skew-gradient structure. In connection with calculus of variations, we show that there is a close relation between the stability of a steady state and its relative Morse index. The stability criteria presented here were partially motivated by some recent works of Yanagida.