带有自由边界的反应扩散系统解的整体存在与爆破（英文）

Global Existence and Blow-Up of Solutions in Reaction-Diffusion System with Free Boundary

本文研究一类带耦合非线性反应项的反应扩散系统的自由边界问题.为简便起见,假设条件和解都是径向对称的.首先,利用压缩映射定理,给出正解的局部存在性和唯一性.然后,考虑解的爆破性质和长时间行为.

This paper is concerned with a free boundary problem for the reactiondiffusion system with coupled nonlinear reaction terms.For simplicity,we assume that the conditions and solutions are radially symmetric.At first,we give the local existence and uniqueness of the positive solution.Then,we consider the blowup property and the long time behavior of the solution.When m2-m1>-1;n1-n2>-1,the solution blows up if the initial value are large enough.