A Class Of Nonlinear Diffusion Equations, Global Existence And Finite Blow Up Problems

In this paper, We mainly study the global boundedness and infinity blow-up of solutions for a separate variable weakly coupled class of nonlinear reaction-diffusion system. The condition of global existence and infinity blow-up and blow-up rate are gained.In the introduction, we give a discussion about the background and general situation to the reaction-diffusion system. The developing situation of reaction-diffusion system and some necessary acknowledge that are related to this article are narrated in chapter two. The work of tutor are also included. Follow these, we get the condition of global boundedness and infinity blow-up rate of solution for a class reaction-diffusion system which is introduced in chapter two by upper and lower solution method. At last, we enlarge the system to more ecumenical form system and get some similar conclusion.