Convergence of a Stochastic Particle Approximation for Measure Solutions of the 2D Keller-Segel System
type: Item
instance of: scholarly article
title: Convergence of a Stochastic Particle Approximation for Measure Solutions of the 2D Keller-Segel System
zbMATH Open document ID: 1229.35111
DOI: 10.1080/03605302.2010.538783
author: Jan Haškovec
author: Christian Schmeiser
published in: Communications in Partial Differential Equations
publication date: 2011-12-14T00:00:00Z
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 65C35
Mathematics Subject Classification ID: 60H30
zbMATH DE Number: 5988316
zbMATH Keywords: BBGKY hierarchy
zbMATH Keywords: defect measure
zbMATH Keywords: Keller-Segel model
zbMATH Keywords: measure valued solutions
zbMATH Keywords: stochastic interacting particle systems
Wikidata QID: Q62568225
describes a project that uses: Chemotaxis
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1080/03605302.2010.538783
OpenAlex ID: W2095542504
cites work: The 8π‐problem for radially symmetric solutions of a chemotaxis model in the plane
cites work: Convergence of the Mass-Transport Steepest Descent Scheme for the Subcritical Patlak–Keller–Segel Model
cites work: Infinite time aggregation for the critical Patlak‐Keller‐Segel model in ℝ2
cites work: Convergence rate for the approximation of the limit law of weakly interacting particles: Application to the Burgers equation
cites work: A stochastic particle method for the McKean-Vlasov and the Burgers equation
cites work: Precise computations of chemotactic collapse using moving mesh methods
cites work: Optimal critical mass in the two dimensional Keller-Segel model in \(R^2\)
cites work: The two-dimensional Keller-Segel model after blow-up
cites work: A finite volume scheme for the Patlak-Keller-Segel chemotaxis model
cites work: Stochastic particle approximation for measure valued solutions of the 2D Keller-Segel system
cites work: Singularity patterns in a chemotaxis model
cites work: On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
cites work: Initiation of slime mold aggregation viewed as an instability
cites work: Numerical simulation of chemotactic bacteria aggregation via mixed finite elements
cites work: A propagation of chaos result for a system of particles with moderate interaction
cites work: PDE models for chemotactic movements: parabolic, hyperbolic and kinetic.
cites work: Conservative upwind finite-element method for a simplified Keller–Segel system modelling chemotaxis
cites work: Notes on finite difference schemes to a parabolic-elliptic system modelling chemotaxis
cites work: The weak vorticity formulation of the 2-d euler equations and concentration-cancellation
cites work: The Derivation of Chemotaxis Equations as Limit Dynamics of Moderately Interacting Stochastic Many-Particle Systems
cites work: Point Dynamics in a Singular Limit of the Keller--Segel Model 1: Motion of the Concentration Regions
cites work: Point Dynamics in a Singular Limit of the Keller--Segel Model 2: Formation of the Concentration Regions
cites work: Well-posedness of a model of point dynamics for a limit of the Keller-Segel system
description: scientific article