DRIFT-DIFFUSION LIMITS OF KINETIC MODELS FOR CHEMOTAXIS: A GENERALIZATION
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- Title
- DRIFT-DIFFUSION LIMITS OF KINETIC MODELS FOR CHEMOTAXIS: A GENERALIZATION
- Authors
- Hwang, HJ; Kang, K; Stevens, A
- Date Issued
- 2005-05
- Publisher
- AMER INST MATHEMATICAL SCIENCES
- Abstract
- We study a kinetic model for chemotaxis introduced by Othmer, Dunbar, and Alt [23], which was motivated by earlier results of Alt, presented in [1], [2]. In two papers by Chalub, Markowich, Perthame and Schmeiser, it was rigorously shown that, in three dimensions, this kinetic model leads to the classical Keller-Segel model as its drift-diffusion limit when the equation of the chemo-attractant is of elliptic type [4], [5]. As an extension of these works we prove that such kinetic models have a macroscopic diffusion limit in both two and three dimensions also when the equation of the chemo-attractant is of parabolic type, which is the original version of the chemotaxis model.
- Keywords
- chemotaxis; kinetic model; drift-diffusion limit; global existence; KELLER-SEGEL MODEL; BLOW-UP; POINT DYNAMICS; EQUATIONS; SYSTEM; AGGREGATION
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/28355
- ISSN
- 1531-3492
- Article Type
- Article
- Citation
- DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, vol. 5, no. 2, page. 319 - 334, 2005-05
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