Front propagation in a double degenerate equation with delay-Reference-Cited by-同舟云学术

Front propagation in a double degenerate equation with delay

Published:2023-01-01 Issue:1 Volume:12 Page:
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Bo Wei-Jian¹,Wu Shi-Liang¹,Du Li-Jun²

Affiliation:

1. School of Mathematics and Statistics, Xidian University , Xi’an , Shaanxi 710071 , P. R. China

2. School of Science, Chang’an University , Xi’an , Shaanxi 710064 , P. R. China

Abstract

Abstract The current article is concerned with the traveling fronts for a class of double degenerate equations with delay. We first show that the traveling fronts decay algebraically at one end, while those may decay exponentially or algebraically at the other end, which depend on the wave speed of traveling fronts. Based on the asymptotical behavior, the uniqueness and stability of traveling fronts are then proved. Of particular interest is the effect of the lower order term and higher order term on the critical speed. We mention that, under the double degenerate case, the nonlinear reaction is less competitive due to the appearance of degeneracy. This yields that the critical speed depends on the lower order term and higher order term, which is different from the nondegenerate case.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anona-2022-0313/pdf

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