Reaction-diffusion Equations of Degenerate-type
Date Issued
2005
Date
2005
Author(s)
Chang, Li-Sheng
DOI
en-US
Abstract
This paper investigates the effects of a degenerate diffusion term in reaction-diffusion models with Fisher-KPP and bistable type nonlinearities. In the first case when the nonlinear term g is of Fisher-KPP type, we obtain a continuum of t.w.s. having wave speed c greater than a threshold value c* and the appearance of a sharp-type profile if c = c*. In the other case when g is bistable, we observe that the t.w.s. is of sharp type. Finally, we estimate the speed of front propagation for reaction-diffusion equations. This formulation makes it possible to calculate sharp estimates for the speed explicitly.
Subjects
行波解
反應擴散方程
退化型
sharp解
波速估計
Travelling wave solutions
Reaction-diffusion equations
degenerate
sharp solutions
Speed estimates
Type
thesis
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