Title of article :
Interface dynamics of the Fisher equation with degenerate diffusion
Author/Authors :
D. Hilhorst، نويسنده , , R. Kersner، نويسنده , , E. Logak، نويسنده , , Maria R. M. Mimura، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2008
Abstract :
We consider a degenerate parabolic reaction–diffusion equation with a monostable nonlinearity arising in population dynamics. In some suitable scaling limit, we prove the generation and propagation of an interface with constant normal velocity in the case that the initial condition has a convex compact support.
Keywords :
Reaction–diffusion equation , Nonlinear diffusion , Finite speed of propagation , Sharp interface limit , Fisherequation , Population dynamics
Journal title :
JOURNAL OF DIFFERENTIAL EQUATIONS
Journal title :
JOURNAL OF DIFFERENTIAL EQUATIONS