Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2013-01-01

Journal: JOURNAL OF DIFFERENTIAL EQUATIONS

Included Journals: SCIE

Volume: 254

Issue: 1

Page Number: 1-29

ISSN: 0022-0396

Key Words: Traveling waves; Degenerate; Existence; Convergent rate; Delay

Abstract: This paper deals with traveling wave solutions for a degenerate parabolic equation with time delay. We first establish the necessary and sufficient conditions to the existence of monotone nonincreasing and nondecreasing traveling wave solutions, which correspond to a unique wave speed c*(tau) respectively. It will be shown that the traveling wave may be a semi-finite, or infinite traveling wave under different exponents. Furthermore, we give an accurate estimation on the convergent rate for the semi-finite or infinite traveling waves. (c) 2012 Elsevier Inc. All rights reserved.