Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 39, Issue 11, Pages 3136-3151Publisher
WILEY
DOI: 10.1002/mma.3758
Keywords
Chemotaxis; Keller-Segel models; kinetic theory; existence; diffusive limit; asymptotic analysis
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Funding
- 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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