An optimal result for global classical and bounded solutions in a two-dimensional Keller-Segel-Navier-Stokes system with saturated sensitivity
type: Item
instance of: scholarly article
title: An optimal result for global classical and bounded solutions in a two-dimensional Keller-Segel-Navier-Stokes system with saturated sensitivity
zbMATH Open document ID: 1505.92023
author: Kaiqiang Li
author: Jiashan Zheng
published in: Communications on Pure and Applied Analysis
publication date: 2022-11-23T00:00:00Z
review text: The initial-boundary problem for the coupled system of Keller-Segel-Navier-Stokes equations with a tensor-valued sensitivity function is studied in two-dimensional domains. The main result on the existence of a global classical solution which appears to be bounded is shown using an energy functional of new type.
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 7622315
zbMATH Keywords: chemotaxis
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: tensor-valued sensitivity
zbMATH Keywords: global-in-time solution
zbMATH Keywords: classical solution
zbMATH Keywords: boundedness
MaRDI profile type: Publication
full work available at URL: cpaa.2022139
OpenAlex ID: W4312948869
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DOI: 10.3934/CPAA.2022139
description: scientific article; zbMATH DE number 7622315