一类退缩反应扩散方程组的整体解的存在性与猝灭  

Existence and Quenching of Global Solution for A Class of Degenerate Reaction Diffusion System

作　　者：孙仁斌[1] 

机构地区：[1]中南民族大学数学与统计学学院,武汉430074

出　　处：《中南民族大学学报（自然科学版）》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)

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.

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 

分 类 号：O175.26[理学—数学]