A free boundary problem arising in a model of wound healing

被引：143

作者：

Chen, XF ^{[1
]}

Friedman, A

机构：

[1] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

[2] Univ Minnesota, Dept Math, Minneapolis, MN 55455 USA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2000年 / 32卷 / 04期

关键词：

free boundary; reaction-diffusion equations; travelling wave solutions; wound healing;

D O I：

10.1137/S0036141099351693

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a system of two semilinear parabolic reaction-diffusion equations with a free boundary, which arises in a model of corneal epithelial wound healing. We prove that the initial-boundary value problem has a unique solution and that complete healing is achieved in finite time. We then proceed to consider travelling wave solutions of the same system and establish the existence of such a solution.

引用

页码：778 / 800

页数：23

共 7 条

[1] MATHEMATICAL-MODELING OF CORNEAL EPITHELIAL WOUND-HEALING [J].