4.6 Article

Kinetic models of chemotaxis towards the diffusive limit: asymptotic analysis

期刊

MATHEMATICAL METHODS IN THE APPLIED SCIENCES
卷 39, 期 11, 页码 3136-3151

出版社

WILEY
DOI: 10.1002/mma.3758

关键词

Chemotaxis; Keller-Segel models; kinetic theory; existence; diffusive limit; asymptotic analysis

资金

  1. Hassan II Academy of Sciences and Technology (Morocco), project Methodes mathematiques et outils de modelisation et simulation pour le cancer

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The paper is devoted to the study of the asymptotic behavior of the solutions of a kinetic model describing chemotaxis phenomena. Our interest focuses on the case, where the diffusion part dominates the chemotaxis part in the limit. More in detail, we prove that the solution of kinetic model exists globally and converges to a solution of diffusive limit. Copyright (C) 2015 JohnWiley & Sons, Ltd.

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