Continuity of pulsating wave speeds for bistable reaction-diffusion equations in spatially periodic media

被引：2

作者：

Ding, Weiwei ^{[1
]}

Liang, Zhanghua ^{[1
]}

Liu, Wenfeng ^{[1
]}

机构：

[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 519卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Reaction-diffusion equation; Spatial periodicity; Traveling wave; Pulsating wave; Bistable equation; TRAVELING-WAVES; FRONT PROPAGATION; EXISTENCE; NONEXISTENCE;

D O I：

10.1016/j.jmaa.2022.126794

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with pulsating waves for multi-dimensional reaction-diffusion equations in spatially periodic media. First, assuming the existence of pulsating waves connecting two linearly stable steady states, we study the continuity of wave speeds with respect to the direction of propagation. The continuity was proved in [15] under the extra condition that the speeds are nonzero in all directions. Here, we revisit this continuity result without the extra condition. Secondly, we provide some sufficient conditions ensuring the existence of pulsating waves in rapidly oscillating media, which allow the equations to have multiple stable steady states. (c) 2022 Elsevier Inc. All rights reserved.

引用

页数：26

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