VARYING THE DIRECTION OF PROPAGATION IN REACTION-DIFFUSION EQUATIONS IN PERIODIC MEDIA

被引：9

作者：

Alfaro, Matthieu ^{[1
]}

Giletti, Thomas ^{[2
]}

机构：

[1] Univ Montpellier, IMAG, CC051, F-34095 Montpellier, France

[2] Univ Lorraine, IECL, BP 70239, F-54506 Vandoeuvre Les Nancy, France

来源：

NETWORKS AND HETEROGENEOUS MEDIA | 2016年 / 11卷 / 03期

关键词：

Periodic media; monostable nonlinearity; ignition nonlinearity; pulsating traveling front; spreading properties; FRAGMENTED ENVIRONMENT MODEL; FRONT PROPAGATION; TRAVELING WAVES; EXISTENCE;

D O I：

10.3934/nhm.2016001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a multidimensional reaction-diffusion equation of either ignition or monostable type, involving periodic heterogeneity, and analyze the dependence of the propagation phenomena on the direction. We prove that the (minimal) speed of the underlying pulsating fronts depends continuously on the direction of propagation, and so does its associated profile provided it is unique up to time shifts. We also prove that the spreading properties [25] are actually uniform with respect to the direction.

引用

页码：369 / 393

页数：25

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