| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 7222160 | Nonlinear Analysis: Real World Applications | 2018 | 9 Pages |
Abstract
We consider a blowup problem of a reaction-diffusion equation with a nonlocal reaction term. Such a problem arises in the description of the species inhabiting in a region surrounded by an inhospitable area with the free boundary representing the spreading front of the species. Firstly, we give some sufficient conditions for finite time blowup. Then we show that the solution decays at an exponential rate and the two free boundaries converge to a finite limit provided the initial data is small and the result is different for the positive and non-positive growth rate.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Jian Yang,