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