IJPAM: Volume 102, No. 2 (2015)

EXISTENCE OF GLOBAL SOLUTIONS FOR SYSTEMS
OF REACTION-DIFFUSION WITH COMPACT RESULT

Abdelkader Moumeni$^1$, Nabila Barrouk$^2$
$^{1,2}$Laboratoire de Mathématiques
Dynamique et Modélisation
Université Badji Mokhtar-Annaba
B.P. 12 Annaba 23000, ALGÉRIE
$^2$Department of Mathematics and Informatics
Faculty of Sciences
University of Souk Ahras
41000, Souk Ahras, ALGERIA


Abstract. The aim of this paper is to study the global existence in time of solutions for some class of reaction-diffusion systems. Our techniques of proof is based on compact semigroup methods and some $L^{1}$ estimates. Our goal is to show, under suitable assumptions, that the proposed model have a global solution for a large class of the functions $f$ and $g$.

Received: December 18, 2014

AMS Subject Classification: 35K57, 35K40, 35K55

Key Words and Phrases: global solution, semi-groups, local solution, reaction-diffusion systems

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DOI: 10.12732/ijpam.v102i2.1 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 102
Issue: 2
Pages: 169 - 186


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