一类非局部退化反应扩散模型的爆破性质  

Blow-Up Property for a Degenerate Reaction-Diffusion Model with Nonlocal Source

作　　者：荆焕先[1] 崔国忠[1] 郭从洲[1] 

机构地区：[1]信息工程大学理学院,河南郑州450001

出　　处：《信息工程大学学报》2010年第6期658-663,共6页Journal of Information Engineering University

摘　　要：讨论一类退化的具有非局部项的非线性反应扩散方程组解的爆破性和爆破速率性质,利用上下解方法证明方程组解的爆破性,利用上下解理论,通过构造不同结构的下解证明了方程组的解在一定条件下发生爆破,进一步求得解在爆破时的爆破速度。This paper investigates the blow-up and blow-up rate for a class of degenerate nonlinear reaction-diffusion equations with nonlocal source.By making use of super and low solution method,the solution blow-up for the nonlinear reaction-diffusion equations is proved.Following the conditions for the parameter to construct different structures of the low solutions of the equations,the conditions of the solutions of the equations blow-up are found,and the blow-up rate is obtained.

关 键 词：非局部耦合 下解 爆破 爆破速率 

分 类 号：O175.26[理学—数学]