Global Bounded Solutions for Reaction-diffusion Systems with a Full Matrix of Diffusion Coefficients and a Balance Law

Chinese Quarterly Journal of Mathematics ›› 2004, Vol. 19 ›› Issue (1): 16-23.

Global Bounded Solutions for Reaction-diffusion Systems with a Full Matrix of Diffusion Coefficients and a Balance Law

Institute of Information Engineering, Information Engineering University, Zhengzhou 450002, China

Received:2003-07-08 Online:2004-03-30 Published:2024-03-22
About author:CHEN Xue-hong(1976-),female,native of Huaihua,Hunan,postgraduate,engages in applied mathematics;JIANG Cheng-shun(1960-),male,native of Anqing,Anhui,a professor of Information Engineering University,engages in applied mathematics.
Supported by:
Supported by the Henan Innovation Project for University Prominent Research Talents (2003KJCX008)；

Abstract

Abstract: This paper deals with an initial boundary value problem for the strongly coupled reaction-diffusion systems with a full matrix of diffusion coefficients. The global existence of solutions is proved by using the techniques based on invariant regions, Lyapunov functional methods, and local Lp prior estimates independent of time.

Key words: Reaction , diffusion , systems;Invariant , regions;Lyapunov , functionals;Global existence

CLC Number:

O175.26

CHEN Xue-hong, JIANG Cheng-shun. Global Bounded Solutions for Reaction-diffusion Systems with a Full Matrix of Diffusion Coefficients and a Balance Law[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(1): 16-23.

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Global Bounded Solutions for Reaction-diffusion Systems with a Full Matrix of Diffusion Coefficients and a Balance Law

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