Global convergence of a kinetic model of chemotaxis to a perturbed Keller-Segel model

Fabio A.C.C. Chalub, Kyungkeun Kang

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We consider a class of kinetic models of chemotaxis with two positive non-dimensional parameters coupled to a parabolic equation of the chemo-attractant. If both parameters are set equal zero, we have the classical Keller-Segel model for chemotaxis. We prove global existence of solutions of this two-parameters kinetic model and prove convergence of this model to models of chemotaxis with global existence when one of these two parameters is set equal zero. In one case, we find as a limit model a kinetic model of chemotaxis while in the other case we find a perturbed Keller-Segel model with global existence of solutions.

Original languageEnglish
Pages (from-to)686-695
Number of pages10
JournalNonlinear Analysis, Theory, Methods and Applications
Volume64
Issue number4
DOIs
Publication statusPublished - 2006 Feb 15

Fingerprint

Keller-Segel Model
Chemotaxis
Kinetic Model
Global Convergence
Global Existence
Kinetics
Two Parameters
Existence of Solutions
Zero
Parabolic Equation
Model
Kinetic parameters

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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Global convergence of a kinetic model of chemotaxis to a perturbed Keller-Segel model. / Chalub, Fabio A.C.C.; Kang, Kyungkeun.

In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 64, No. 4, 15.02.2006, p. 686-695.

Research output: Contribution to journalArticle

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