Traveling waves for a time delayed Newtonian filtration equation
type: Item
instance of: scholarly article
title: Traveling waves for a time delayed Newtonian filtration equation
zbMATH Open document ID: 1259.35056
author: Chunhua Jin
author: Jingxue Yin
author: Sining Zheng
published in: Journal of Differential Equations
publication date: 2012-11-22T00:00:00Z
review text: This paper deals with traveling wave solutions for a degenerate parabolic equation with time delay. The authors first establish necessary and sufficient conditions for the existence of monotone non-increasing and nondecreasing traveling wave solutions, which correspond to a unique wave speed \(c^{\ast}(\tau )\), respectively. It is shown that the traveling wave may be a semi-finite, or infinite traveling wave under different exponents. Furthermore, one gives an accurate estimation on the convergence rate for the semi-finite or infinite traveling waves.
reviewed by: Titus Petrila
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 6109872
zbMATH Keywords: convergence rate
MaRDI profile type: Publication
full work available at URL: j.jde.2012.08.034
OpenAlex ID: W2026604773
DOI: 10.1016/J.JDE.2012.08.034
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description: scientific article; zbMATH DE number 6109872