Asymptotic behavior of solutions to chemical reaction-diffusion systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:450

Article

Pierre, Michel¹  Suzuki, Takashi²  Zou, Rong³ 

[1] UBL, IRMAR, ENS Rennes, Campus Ker Lann, F-35170 Bruz, France

[2] Osaka Univ, Grad Sch Engn Sci, 1-3 Machikaneyama Cho, Toyonakashi 5608531, Japan

[3] Kyushu Univ, Inst Math Ind, Nishi Ku, 744 Motooka, Fukuoka 8190395, Japan

关键词: Reaction-diffusion equation;    Chemical reaction;    Asymptotic behavior;    Entropy method;    Renormalized solution;   

DOI  :  10.1016/j.jmaa.2017.01.022

来源: Elsevier

【 摘 要 】

This paper concerns the study of the asymptotic behavior of solutions to reaction diffusion systems modeling multi-components reversible chemistry with spatial diffusion. By solution, we understand any limit of adequate approximate solutions. It is proved in any space dimension that, as time tends to infinity, the solution converges exponentially to the unique homogeneous stationary solution. We adapt and extend to any number of components, the entropy decay estimates which have been exploited for some particular 3 x 3 and 4 x 4 systems. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free