A singular limit in a fractional reaction-diffusion equation with periodic coefficients

Autor:	Léculier, Alexis
Rok vydání:	2018
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	We provide an asymptotic analysis of a non-local Fisher-KPP type equation in periodic media and with a non-local stable operator of order $\alpha$ $\in$ (0, 2). We perform a long time-long range scaling in order to prove that the stable state invades the unstable state with a speed which is exponential in time.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1804.09938 Zobrazit plný text záznamu View this record from Arxiv