The diffusive limit of the Vlasov-Fokker-Planck equation with the chemotactic sensitivity coupled to a parabolic equation
SCIE
SCOPUS
- Title
- The diffusive limit of the Vlasov-Fokker-Planck equation with the chemotactic sensitivity coupled to a parabolic equation
- Authors
- HWANG, HYUNG JU; JO, HYEONTAE
- Date Issued
- 2019-09
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Abstract
- In this paper, we study the Vlasov-Fokker-Plank (VFP) equation coupled to the parabolic equation with the inclusion of the chemotactic sensitivity of the cells. The diffusive limit of the model to the Keller-Segel model with chemotaxis is investigated. In this process, we study the global existence of solutions in W-1,W-P and use energy and entropy estimates on weighted W-1,W-p of that model with a diffusive scaling. Based on this information, we deal with a diffusive limit for the model and its solution. (C) 2019 Elsevier Inc. All rights reserved.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/100189
- DOI
- 10.1016/j.jmaa.2019.05.009
- ISSN
- 0022-247X
- Article Type
- Article
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol. 477, no. 2, page. 1224 - 1242, 2019-09
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