一类耦合反应扩散系统初值问题光滑解

Smooth Solutions of the Cauchy Problems for a Class of Coupled Reaction-Diffusion Systems

本文研究了一类耦合反应扩散系统初值问题整体光滑解的存在唯一性,证明了解的全局稳定性及随时间延伸而以指数形式衰减的渐近行为。

In this paper,the global existence and uniqueness of smooth solutions of the Cauchy problems for a class of coupled reaction-diffusion equations are investigated by means of the energy method,the asymptotic behaviour and global stability of the solutions are abtained.