S. Kouachi: Uniform boundedness and global existence of solutions for reaction-diffusion systems with a balance law and a full matrix of diffusion coefficients

Uniform boundedness and global existence of solutions for reaction-diffusion systems with a balance law and a full matrix of diffusion coefficients

S. Kouachi, Central University of Tebessa, Algeria

E. J. Qualitative Theory of Diff. Equ., No. 7. (2001), pp. 1-9.

Communicated by M. Farkas.

Appeared on 2001-01-01

Abstract: The purpose of this paper is to prove uniform boundedness and so global existence of solutions for reaction-diffusion systems with a full matrix of diffusion coefficients satisfying a balance law. Our technics are based on invariant regions and Lyapunov functional methods. The nonlinearity of the reaction term which we take positive in an invariant region has been supposed to be polynomial.

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