Dynamics of Partial Differential Equations
Volume 2 (2005)
A Hopf bifurcation in a free boundary problem with an inhomogeneity
Pages: 59 – 69
We shall consider a two-component reaction-diffusion system with spatial inhomogeneous media. In this paper, we shall explore the dynamics of interfaces in the problem with spatial inhomogeneous media in order to investigate the existence of time periodic solutions as a parameter vary and to examine the effect of a spatial inhomogeneity.
free boundary problem, inhomogeneity, Hopf bifurcation
2010 Mathematics Subject Classification
35B25, 35B32, 35K57, 35Kxx, 35R35