摘要
本文讨论一个吸放热反应扩散系统及其平衡态的正解的存在性同Thiele-模量间的依赖关系,同时得出解的某些性质。
We consider a mathematical model for the evolution of a single reactant and of the temperature in an isothermal catalyst. The temperature is assumed to be spatially homogeneous and the reaction term is supposed to be singular. Existence, nonexistence and uniqueness of positive solutions are proved together with some bounds. The steady-state problem is also investigated and some information about solutions are given.
出处
《高校应用数学学报(A辑)》
CSCD
北大核心
1995年第4期383-390,共8页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
贵州省自然科学基金
关键词
初边值问题
存在性
化学反应扩散
解
吸放热系统
Lower and Upper Solution, Reaction-diffusion, Initial-boundary Value Problem, Existence.