Electron. J. Diff. Equ., Vol. 2016 (2016), No. 156, pp. 1-11.

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

Samir Bendoukha, Salem Abdelmalek

Abstract:
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.

Submitted May 2, 2016. Published June 21, 2016.
Math Subject Classifications: 35K45, 35K57.
Key Words: Reaction-diffusion system; global solution, Lyapunov functional.

Show me the PDF file (204 KB), TEX file for this article.

Samir Bendoukha
Electrical Engineering Department
College of Engineering at Yanbu
Taibah University, Saudi Arabia
email: sbendoukha@taibahu.edu.sa
Salem Abdelmalek
Department of Mathematics
College of Sciences, Yanbu
Taibah University, Saudi Arabia
email: sallllm@gmail.com

Return to the EJDE web page