Curved Fronts of Bistable Reaction-Diffusion Equations in Spatially Periodic Media (Sept, 10.1007/s00205-021-01711-x, 2021)

被引：0

作者：

Guo, Hongjun ^{[1
]}

Li, Wan-Tong ^{[2
]}

Liu, Rongsong ^{[3
]}

Wang, Zhi-Cheng ^{[2
]}

机构：

[1] Tongji Univ, Inst Adv Study, Sch Math Sci, Shanghai, Peoples R China

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou, Peoples R China

[3] Univ Wyoming, Dept Math & Stat, Laramie, WY 82071 USA

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2021年 / 242卷 / 03期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1007/s00205-021-01720-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, curved fronts are constructed for spatially periodic bistable reaction-diffusion equations under the a priori assumption that there exist pulsating fronts in every direction. Some sufficient and some necessary conditions of the existence of curved fronts are given. Furthermore, the curved front is proved to be unique and stable. Finally, a curved front with varying interfaces is also constructed. Despite the effect of the spatial heterogeneity, the result shows the existence of curved fronts for spatially periodic bistable reaction-diffusion equations which is known for the homogeneous case. © 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH, DE, part of Springer Nature.

引用

页码：1629 / 1630

页数：2