Existence of global solutions for a system of reaction-diffusion equations having a triangular matrix

Electronic Journal of Differential Equations

关键词: Reaction-diffusion systems;    Lyapunov functional;    global solution;   

DOI  :  

来源: DOAJ

【 摘 要 】

We consider the system of reaction-diffusion equations$$displaylines{ u_{t}-aDelta u=eta-f(u,v)-alpha u,cr v_{t}-cDelta u-dDelta v=g(u,v)-sigma v.}$$Our aim is to establish the existence of global classical solutionsusing the method used by Melkemi, Mokrane, and Youkana [19].

【 授权许可】

Unknown