Methods and Applications of Analysis

Volume 28 (2021)

Number 3

Special issue dedicated to Professor Ling Hsiao on the occasion of her 80th birthday, Part II

Guest editors: Qiangchang Ju (Institute of Applied Physics and Computational Mathematics, Beijing), Hailiang Li (Capital Normal University, Beijing), Tao Luo (City University of Hong Kong), and Zhouping Xin (Chinese University of Hong Kong)

On the existence and monotonicity of curved fronts in a periodic shear flow

Pages: 325 – 336

DOI: https://dx.doi.org/10.4310/MAA.2021.v28.n3.a5

Authors

Rui Huang (School of Mathematical Sciences, South China Normal University, Guangzhou, China)

Yanning Ren (School of Mathematical Sciences, South China Normal University, Guangzhou, China)

Jingxue Yin (School of Mathematical Sciences, South China Normal University, Guangzhou, China)

Abstract

In this paper we prove the existence and monotonicity of curved fronts in a periodic shear flow by mixing infinite different traveling fronts coming from different directions with different speeds. This is a generalization of our previous work [4].

Keywords

curved fronts, reaction-advection-diffusion equation, existence

2010 Mathematics Subject Classification

35B35, 35B40, 35B50, 35K57

Full Text (PDF format)

The research of R. Huang was supported in part by NSFC Grant Nos. 11671155, 11771155, 11971179 and 12126204, NSF of Guangdong Grant Nos. 2020A1515010338 and 2020B1515310005, and NSF of Guangzhou Grant No. 201707010136.

The research of J. Yin was supported by NSFC Grant No. 11771156, 12026220 and 12171166, NSF of Guangdong Grant No. 2020B1515310013, and NSF of Guangzhou Grant No. 201804010391.

Received 30 August 2020

Accepted 8 December 2020

Published 10 June 2022