Bulletin of the
Korean Mathematical Society BKMS

In [3], they showed the existence of the Hopf bifurcation in the parabolic free boundary problem with Pushchino dynamics for a finite diffusion constant. In this paper, we consider a limiting problem which is obtained as the diffusion constant tends to infinity. We shall investigate the behaviors of the solutions for the limiting problem.

Keywords: free boundary, Hopf bifurcation, Poincare-Bendixon theorem

MSC numbers: Primary 35R35, 35B32; Secondary 35B25, 35K22, 35K57, 58F14, 58F22