Global generalized solvability in the Keller-Segel system with singular sensitivity and arbitrary superlinear degradation
type: Item
instance of: scholarly article
title: Global generalized solvability in the Keller-Segel system with singular sensitivity and arbitrary superlinear degradation
zbMATH Open document ID: 1502.35184
author: Wenji Zhang
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2022-11-08T00:00:00Z
review text: The author considers the fully parabolic chemotaxis system with the logarithmic sensitivity function and superlinear degradation term \(f(u)\) in bounded smooth domains of \(\mathbb R^n\), supplemented with the homogeneous Neumann conditions. Under the condition: \(f(0)\ge 0\), \(\frac{f(s)}{s}\to-\infty\) as \(s\to\infty\), the initial-boundary value problem with integrable nonnegative initial data has a suitable generalized global weak solution.
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 92C17
zbMATH DE Number: 7613221
zbMATH Keywords: chemotaxis
zbMATH Keywords: logarithmic sensitivity
zbMATH Keywords: superlinear degradation term
zbMATH Keywords: global solution
MaRDI profile type: Publication
full work available at URL: dcdsb.2022121
OpenAlex ID: W4285113018
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DOI: 10.3934/DCDSB.2022121
description: scientific article; zbMATH DE number 7613221