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
Pages
20
From page
2870
To page
2889
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
Serial Year
2008
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Record number
751404
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