Spreading speed for a KPP type reaction-diffusion system with heat losses and fast decaying initial data

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:270

Article

Ducrot, Arnaud¹ 

[1] Normandie Univ, ISCN, LMAH, UNIHAVRE,FR CNRS 3335, F-76600 Le Havre, France

关键词: Spreading speed;    Reaction-diffusion system of KPP type;    Heat losses;   

DOI  :  10.1016/j.jde.2020.07.044

来源: Elsevier

【 摘 要 】

In this work we consider a two-components reaction-diffusion system of KPP type with heat losses posed in a straight cylinder and equipped with fast decaying initial data. We derive a criteria condition - expressed in term of the sign of a suitable elliptic eigenvalue - for extinction and for propagation of the solutions. In the case of propagation we derive a spreading speed property and we obtain an asymptotic expansion in the large times for the location of the front, that is strongly related with the minimal wave speed of the travelling waves. We also obtain decay estimates for the solutions ahead the front. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free