Invariant regions and existence of global solutions to reaction-diffusion systems without conditions on the growth of nonlinearities

oleh: Samir Bendoukha, Salem Abdelmalek

Format: Article
Diterbitkan: Texas State University 2016-06-01

Deskripsi

This article concerns the existence of global solutions for a coupled 2-component reaction diffusion system with a full matrix diffusion and exponential nonlinearities. We show that some results of global and bounded solutions are established via invariant regions and the Lyapunov functional. A numerical example is used to illustrate our results.