Local well-posedness and finite time blow-up of solutions to an attraction-repulsion chemotaxis system in higher dimensions
type: Item
instance of: scholarly article
title: Local well-posedness and finite time blow-up of solutions to an attraction-repulsion chemotaxis system in higher dimensions
zbMATH Open document ID: 1483.35046
author: Tatsuya Hosono
author: Takayoshi Ogawa
published in: Journal of Mathematical Analysis and Applications
publication date: 2022-02-14T00:00:00Z
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35K45
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 92C17
zbMATH DE Number: 7472971
zbMATH Keywords: attraction-repulsion chemotaxis system
zbMATH Keywords: well-posedness
zbMATH Keywords: Cauchy problem
zbMATH Keywords: elliptic-parabolic system
MaRDI profile type: Publication
full work available at URL: j.jmaa.2022.126009
OpenAlex ID: W4210334816
cites work: REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
cites work: Existence and nonexistence of solutions for a model of gravitational interaction of particles, III
cites work: Existence and nonexistence of solutions for a model of gravitational interaction of particles, I
cites work: Infinite time aggregation for the critical Patlak‐Keller‐Segel model in ℝ2
cites work: Q3431715
cites work: Blow-up, Concentration Phenomenon and Global Existence for the Keller–Segel Model in High Dimension
cites work: Global solutions of some chemotaxis and angiogenesis system in high space dimension
cites work: Symmetrization techniques on unbounded domains: Application to a chemotaxis system on \(\mathbb{R}^N\)
cites work: Global existence and blow-up for a system describing the aggregation of microglia
cites work: On the Navier-Stokes initial value problem. I
cites work: Nonlinear partial differential equations. Asymptotic behavior of solutions and self-similar solutions
cites work: Q5187597
cites work: Finite-time blow-up for the attractive dominant case of an attraction-repulsion chemotaxis system in the whole space.
cites work: Global well-posedness for Keller-Segel system in Besov type spaces
cites work: Boundedness of the attraction-repulsion Keller-Segel system
cites work: Large time behavior of the full attraction-repulsion Keller-Segel system in the whole space
cites work: Global stabilization of the full attraction-repulsion Keller-Segel system
cites work: Initiation of slime mold aggregation viewed as an instability
cites work: Threshold of global behavior of solutions to a degenerate drift-diffusion system in between two critical exponents
cites work: Local existence and finite time blow-up of solutions in the 2-D Keller-Segel system
cites work: Existence and uniqueness theorem on weak solutions to the parabolic-elliptic Keller-Segel system
cites work: Finite time blow-up of the solution for a nonlinear parabolic equation of drift-diffusion type.
cites work: Well-posedness for the drift-diffusion system in \(L^p\) arising from the semiconductor device simulation
cites work: Finite time blow up for a solution to system of the drift-diffusion equations in higher dimensions
cites work: Singular limit problem for the Keller-Segel system and drift-diffusion system in scaling critical spaces
cites work: Singular limit problem for the two-dimensional Keller-Segel system in scaling critical space
cites work: Classical solutions and steady states of an attraction–repulsion chemotaxis in one dimension
cites work: Q4518253
cites work: Global existence and decay estimates of solutions to a parabolic-elliptic system of drift-diffusion type in \(\mathbb R^2\).
cites work: BREZIS–MERLE INEQUALITIES AND APPLICATION TO THE GLOBAL EXISTENCE OF THE CAUCHY PROBLEM OF THE KELLER–SEGEL SYSTEM
cites work: Global existence of solutions to a parabolic-elliptic system of drift-diffusion type in \(\mathbb{R}^2\)
cites work: Q4381941
cites work: Global existence of solutions to the Cauchy problem for an attraction-repulsion chemotaxis system in \(\mathbb{R}^2\) in the attractive dominant case
cites work: Global existence of solutions to a two dimensional attraction-repulsion chemotaxis system in the attractive dominant case with critical mass
cites work: Chemotactic signaling, microglia, and Alzheimer's disease senile plaques: Is there a connection?
cites work: Random walk with persistence and external bias
cites work: Blowup Behavior of Radial Solutions to Jaeger-Luckhaus System in High Dimensional Domains
cites work: A Mathematical Theory of Communication
cites work: Well-posedness for a model derived from an attraction-repulsion chemotaxis system
cites work: Global existence of solutions to the Cauchy problem of a two dimensional attraction-repulsion chemotaxis system
cites work: COMPETING EFFECTS OF ATTRACTION VS. REPULSION IN CHEMOTAXIS
cites work: Global well-posedness and blow-up for the 2-D Patlak-Keller-Segel equation
cites work: Q3886160
cites work: Large time behavior of solutions for the attraction-repulsion Keller-Segel system with large initial data
DOI: 10.1016/J.JMAA.2022.126009
description: scientific article; zbMATH DE number 7472971