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Global stability of V-shaped traveling fronts in combustion and degenerate monostable equations

Authors :
Zhi-Cheng Wang
Zhen-Hui Bu
Source :
Discrete & Continuous Dynamical Systems - A. 38:2251-2286
Publication Year :
2018
Publisher :
American Institute of Mathematical Sciences (AIMS), 2018.

Abstract

This paper is concerned with the global stability of V-shaped traveling fronts in reaction-diffusion equations with combustion and degenerate monostable nonlinearity. The existence of such curved fronts has been recently proved by [ 39 ]. In this paper, by constructing new subsolutions, we show the asymptotic stability of V-shaped traveling fronts.

Details

ISSN :
15535231
Volume :
38
Database :
OpenAIRE
Journal :
Discrete & Continuous Dynamical Systems - A
Accession number :
edsair.doi...........4daab71d4c82643cd8e863243fc9dc93
Full Text :
https://doi.org/10.3934/dcds.2018093