Pattern formation (I): The Keller-Segel Model
SCIE
SCOPUS
- Title
- Pattern formation (I): The Keller-Segel Model
- Authors
- Guo, Y; Hwang, HJ
- Date Issued
- 2010-10-01
- Publisher
- Americal Mathematical Society
- Abstract
- We investigate nonlinear dynamics near an unstable constant equilibrium in the classical Keller-Segel model. Given any general perturbation of magnitude delta, we prove that its nonlinear evolution is dominated by the corresponding linear dynamics along a fixed finite number of fastest growing modes, over a time period of In 1/delta. Our result can be interpreted as a rigorous mathematical characterization for early pattern formation in the Keller-Segel model. (C) 2010 Elsevier Inc. All rights reserved.
- Keywords
- Keller-Segel; Chemotaxis; Pattern formation; Instability; Nonlinear dynamics; CHEMOTAXIS; INSTABILITY; AGGREGATION; DIFFUSION; COLLAPSE
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/25739
- DOI
- 10.1016/J.JDE.2010.07.025
- ISSN
- 0022-0396
- Article Type
- Article
- Citation
- JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 249, no. 7, page. 1519 - 1530, 2010-10-01
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