A Hopf bifurcation in a radially symmetric free boundary problem
YoonMee Ham, Sang‐Gu Lee · Dynamics of Partial Differential Equations · 2008
We consider an interface problem derived by a reaction-diffusion equation in two-and three-dimensional system with radial symmetry.Existence of Hopf bifurcation as a parameter varies will be studied in two-and three-dimensional spaces.Contents 1. Introduction 173 2. Regularization of the interface equation 175 3. Radially symmetric equilibrium solutions and Linearization of the interface equation 176 4. A Hopf bifurcation 177