A Fisher-Kolmogorov equation with finite speed of propagation

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:248

Article

Andreu, F.¹  Caselles, V.²  Mazon, J. M.¹ 

[1] Univ Valencia, Dept Anal Matemat, E-46100 Valencia, Spain

[2] Univ Pompeu Fabra, Dept Tecnol, Barcelona 08018, Spain

关键词: Flux limited diffusion equations;    Reaction-diffusion equations;    Entropy solutions;    Front propagation;   

DOI  :  10.1016/j.jde.2010.01.005

来源: Elsevier

【 摘 要 】

In this paper we study a Fisher-Kolmogorov type equation with a flux limited diffusion term and we prove the existence and uniqueness of finite speed moving fronts and the existence of some explicit solutions in a particular regime of the equation. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free