摘要
讨论了一类反应扩散系统在齐次Neumann边界条件下的初边值问题正解的全局存在性和局部解在有限时刻的非同时Blow-up现象。同时,用类似的方法,推广讨论了一些具体的对流反应扩散问题的全局解的存在性。
The global existence and finite time non-simultaneous blow-up of positive solution for
the initial-boundary value problems to some reaction-diffusion systems with homogeneous Neumann
boundary conditions are discussed. Meanwhile, by taking advantage of the similar method, the global
existence for several concrete convection-reaction-diffusion problems are generalized.
出处
《工程数学学报》
CSCD
北大核心
2004年第4期509-513,524,共6页
Chinese Journal of Engineering Mathematics
基金
河南省高校杰出科研人才创新工程科学基金(2003KJCX008)
关键词
反应扩散系统
全局正解存在性
局部解的非同时Blow-up
reaction-diffusion systems
global existence of the positive solution
non-simultaneous blow-up of the local solution
