纺织高校基础科学学报2016，Vol.29Issue(1)：35-38,4.DOI:10.13338/j.issn.1006-8341.2016.01.006
退化反应扩散方程组解的整体存在和有限爆破
Global existence and finite time blow-up for degenerate reaction-diffusion system
摘要
Abstract
The properties of solutions for a degenerate reaction-diffusion system ut =v p 1 Δu +a∫Ωu m1 vq 1 dx ( ) ,vt = u p 2 Δv +b∫Ωv m2 uq2 dx ( ) with null Dirichlet boundary conditions and nonlocal sources are investigated.The sufficient conditions for the global existence and the finite time blow-up of solution to the system are established by comparison theorem and upper-lower solution method.It can clearly understand the global existence,the relationship between the initial value,the blow-up of solution and the direct relation of the area size.关键词
非局部源/退化抛物型方程组/整体存在/有限爆破Key words
nonlocal source/degenerate parabolic system/global existence/finite time blow-up分类
数理科学引用本文复制引用
樊彩虹,容跃堂,房春梅,李平..退化反应扩散方程组解的整体存在和有限爆破[J].纺织高校基础科学学报,2016,29(1):35-38,4.基金项目
内蒙古自治区高等学校青年科技英才支持计划资助项目(NJYT-15-B10) （NJYT-15-B10）
内蒙古自然科学基金资助项目(2013MS0202) （2013MS0202）
