Speaker: Wang Zhicheng, Professor, School of Mathematics and Statistics, Lanzhou University

Date: November. 2, 2021

Time: 15:00-16:00

Location: Tencent Meeting, ID:621 195 276

Sponsor: School of Mathematics, Shandong University

Abstract:

In this talk, we construct curved fronts 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.

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https://www.view.sdu.edu.cn/info/1020/158458.htm