Global solutions of a strongly coupled reaction-diffusion system with different diffusion coefficients

Existence and Nonexistence of Global Solutions of a Weakly Coupled System of Reaction-Diffusion Equations

Invariant Regions and Global Solutions for Reaction-diffusion Systems with a Tridiagonal Symmetric Toeplitz Matrix of Diffusion Coefficients

In this article we construct the invariant regions for m-component reaction-diffusion systems with a tridiagonal symmetric Toeplitz matrix of diffusion coefficients and with nonhomogeneous boundary conditions. We establish the existence of global solutions, and use Lyapunov functional methods. The nonlinear reaction term is assumed to be of polynomial growth.

Global Existence of Solution for Reaction Diffusion Systems with a Full Matrix of Diffusion Coefficients

The goal of this work is to study the global existence in time of solutions for somecoupled systems of reaction diffusion which describe the spread within a population of infectiousdisease. We consider a full matrix of diffusion coefficients and we show the global existence of thesolutions.Full text References[1] N. D. Alikakos, L-Bounds of Solutions of Reaction-Diffusion Eq...

Some Remarks on Some Strongly Coupled Reaction-Diffusion Equations

The primary goal of this paper is to make an investigation on a particular type of partial differential systems, that is, the strongly coupled reactiondiffusion system. Recall that early investigations on this problem are due 2000 Mathematics Subject Classifications. 35K57; 35B35; 35B65; 35K45; 47B44; 47B15

Existence and Nonexistence of Global Solutions in Time for a Reaction-Diffusion System with Inhomogeneous Terms

We consider the initial value problem for the reaction-diffusion system with inhomogeneous terms. In this paper we show the existence and nonexistence of global solution in time. Especially, for the nonexistence we extend the conditions of the nonlinear terms and the initial data to the weaker conditions. We prove that for the nonlinear term and the initial data whose support is included in som...