Global well-posedness for a multidimensional chemotaxis model in critical Besov spaces
type: Item
instance of: scholarly article
title: Global well-posedness for a multidimensional chemotaxis model in critical Besov spaces
zbMATH Open document ID: 1258.35195
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2013-02-04T00:00:00Z
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 35G55
Mathematics Subject Classification ID: 35M31
Mathematics Subject Classification ID: 92C17
zbMATH DE Number: 6134366
zbMATH Keywords: chemotaxis model
zbMATH Keywords: Cauchy problem
zbMATH Keywords: global well-posedness
zbMATH Keywords: critical Besov spaces
author: Chengchun Hao
MaRDI profile type: Publication
full work available at URL: s00033-012-0193-0
OpenAlex ID: W2111764281
cites work: Fourier Analysis and Nonlinear Partial Differential Equations
cites work: About lifespan of regular solutions of equations related to viscoelastic fluids
cites work: Flows of non-Lipschitzian vector fields and Navier-Stokes equations
cites work: A chemotaxis model motivated by angiogenesis
cites work: Global solutions of some chemotaxis and angiogenesis system in high space dimension
cites work: Global existence in critical spaces for compressible Navier-Stokes equations
cites work: Global existence in critical spaces for flows of compressible viscous and heat-conductive gases
cites work: Cauchy problem for viscous rotating shallow water equations
cites work: From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
cites work: Initiation of slime mold aggregation viewed as an instability
cites work: Model for chemotaxis
cites work: Traveling bands of chemotactic bacteria: a theoretical analysis
cites work: ON A HYPERBOLIC–PARABOLIC SYSTEM MODELING CHEMOTAXIS
cites work: Nonlinear Stability of Traveling Waves to a Hyperbolic-Parabolic System Modeling Chemotaxis
cites work: NONLINEAR STABILITY OF LARGE AMPLITUDE VISCOUS SHOCK WAVES OF A GENERALIZED HYPERBOLIC–PARABOLIC SYSTEM ARISING IN CHEMOTAXIS
cites work: Asymptotic nonlinear stability of traveling waves to conservation laws arising from chemotaxis
cites work: A System of Reaction Diffusion Equations Arising in the Theory of Reinforced Random Walks
cites work: Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks
cites work: Q4129323
cites work: Shock formation in a chemotaxis model
cites work: Global existence of solutions to a hyperbolic-parabolic system
DOI: 10.1007/S00033-012-0193-0
description: scientific article; zbMATH DE number 6134366