摘要
分析了一类退缩反应扩散方程组的初边值问题,讨论了此方程组整体解存在的条件,证明了当区域Ω的直径适当小时,解是全局存在的;当Ω的直径适当大时,解会在有限时刻发生猝灭现象,得到了Ω直径的量化范围.
In this paper, initial-boundary value problem of a class of degenerate reaction diffusion system was analyzed, and existence conditions of global solution of this system were discussed. It was proved that the global solutions exist while the diameter of region Ω is adequate small, yet the solutions would quench in a finite time while the diameter of Ω is adequate large. The range of diameter of Ω was obtained.
出处
《中南民族大学学报（自然科学版）》
CAS
北大核心
2016年第1期141-144,共4页
Journal of South-Central University for Nationalities：Natural Science Edition
基金
国家自然科学基金资助项目(61374085)
关键词
退缩反应扩散方程组
整体解
有限猝灭时间
区域直径
degenerate reaction diffusion system
global solution
finite quenching time
the diameter of region
