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关于一个吸放热系统解的存在性
引用本文:王远弟. 关于一个吸放热系统解的存在性[J]. 高校应用数学学报(A辑), 1995, 0(4): 383-390
作者姓名:王远弟
作者单位:上海交通大学
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。

关 键 词:初边值问题 存在性 化学反应扩散 解 吸放热系统

EXISTENCE FOR SOLUTIONS OF SYSTEM WITH SINGULARITY
Wang Yuandi. EXISTENCE FOR SOLUTIONS OF SYSTEM WITH SINGULARITY[J]. Applied Mathematics A Journal of Chinese Universities, 1995, 0(4): 383-390
Authors:Wang Yuandi
Abstract: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.
Keywords:Lower and Upper Solution   Reaction-diffusion   Initial-boundary Value Problem   Existence.  
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