A fully cross-diffusive two-component evolution system: existence and qualitative analysis via entropy-consistent thin-film-type approximation
type: Item
instance of: scholarly article
title: A fully cross-diffusive two-component evolution system: existence and qualitative analysis via entropy-consistent thin-film-type approximation
zbMATH Open document ID: 1471.35278
author: Youshan Tao
author: Michael Winkler
published in: Journal of Functional Analysis
publication date: 2021-05-10T00:00:00Z
review text: A doubly cross-diffusion system arising from pursuit-evasion models is studied in one space dimension. The system has two entropy-like stuctures but the continuation of solutions is delicate because of their insufficient regularity. The construction of weak global-in-time solutions is achieved through a fourth order regularization leading to a thin film type problem.
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 35K52
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 7346924
zbMATH Keywords: chemotaxis
zbMATH Keywords: pursuit-evasion
zbMATH Keywords: cross-diffusion
zbMATH Keywords: global-in-time existence
zbMATH Keywords: asymptotic behavior
reviewed by: Piotr Biler
MaRDI profile type: Publication
full work available at URL: j.jfa.2021.109069
OpenAlex ID: W3157616882
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DOI: 10.1016/J.JFA.2021.109069
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description: scientific article; zbMATH DE number 7346924