Renormalized radial large-data solutions to the higher-dimensional Keller-Segel system with singular sensitivity and signal absorption
type: Item
instance of: scholarly article
title: Renormalized radial large-data solutions to the higher-dimensional Keller-Segel system with singular sensitivity and signal absorption
zbMATH Open document ID: 1378.35165
author: Michael Winkler
published in: Journal of Differential Equations
publication date: 2017-11-14T00:00:00Z
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 35Q92
zbMATH DE Number: 6807000
zbMATH Keywords: chemotaxis
zbMATH Keywords: global existence
zbMATH Keywords: renormalized solution
zbMATH Keywords: generalized solution
MaRDI profile type: Publication
full work available at URL: j.jde.2017.10.029
OpenAlex ID: W2765727477
cites work: Q4493625
cites work: Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
cites work: Q4254459
cites work: On the Cauchy problem for Boltzmann equations: Global existence and weak stability
cites work: Boundedness in a fully parabolic chemotaxis system with singular sensitivity
cites work: Stabilization in a chemotaxis model for tumor invasion
cites work: Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
cites work: Global well-posedness for a multidimensional chemotaxis model in critical Besov spaces
cites work: Q4398321
cites work: Boundedness vs. blow-up in a chemotaxis system
cites work: Asymptotic stability of traveling waves of a chemotaxis model with singular sensitivity
cites work: Traveling bands of chemotactic bacteria: a theoretical analysis
cites work: Q5562267
cites work: A new approach toward boundedness in a two-dimensional parabolic chemotaxis system with singular sensitivity
cites work: A System of Reaction Diffusion Equations Arising in the Theory of Reinforced Random Walks
cites work: A mathematical model for the roles of pericytes and macrophages in the initiation of angiogenesis. I: The role of protease inhibitors in preventing angiogenesis
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: Initial-boundary value problems for a system of hyperbolic balance laws arising from chemotaxis
cites work: Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks
cites work: Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
cites work: Q3438091
cites work: Partial differential equations of chemotaxis and angiogenesis
cites work: Global weak solutions in a chemotaxis system with large singular sensitivity
cites work: Boundedness in a chemotaxis model with oxygen consumption by bacteria
cites work: Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
cites work: Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension
cites work: Asymptotic dynamics on a singular chemotaxis system modeling onset of tumor angiogenesis
cites work: Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
cites work: Global solutions in a fully parabolic chemotaxis system with singular sensitivity
cites work: Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
cites work: The two-dimensional Keller-Segel system with singular sensitivity and signal absorption: global large-data solutions and their relaxation properties
cites work: Global existence of solutions to a hyperbolic-parabolic system
cites work: Boundedness in chemotaxis systems with rotational flux terms
cites work: Global boundedness of solutions in a parabolic-parabolic chemotaxis system with singular sensitivity
DOI: 10.1016/J.JDE.2017.10.029
description: scientific article; zbMATH DE number 6807000