A study of blow-ups in the Keller-Segel model of chemotaxis

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

We study the Keller-Segel model of chemotaxis and develop a composite particle-grid numerical method with adaptive time stepping which allows us to resolve and propagate singular solutions. We compare the numerical findings (in two dimensions) with analytical predictions regarding formation and interaction of singularities obtained through analysis of the stochastic differential equations associated with the model.

Original languageEnglish (US)
Article number81
Pages (from-to)81-94
Number of pages14
JournalNonlinearity
Volume26
Issue number1
DOIs
StatePublished - Jan 2013

Fingerprint

Keller-Segel Model
Singular Solutions
Chemotaxis
Time Stepping
Stochastic Equations
Resolve
Two Dimensions
Numerical Methods
Composite
Singularity
Differential equation
Grid
Prediction
Interaction
Numerical methods
Differential equations
differential equations
grids
composite materials
Composite materials

ASJC Scopus subject areas

  • Applied Mathematics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

A study of blow-ups in the Keller-Segel model of chemotaxis. / Fatkullin, Ibrahim.

In: Nonlinearity, Vol. 26, No. 1, 81, 01.2013, p. 81-94.

Research output: Contribution to journalArticle

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