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Algebra i Analiz, 2013, Volume 25, Issue 4, Pages 47–84 (Mi aa1344)  
This article is cited in 6 scientific papers (total in 6 papers)

Research Papers

On blowup dynamics in the Keller–Segel model of chemotaxis

S. I. Dejaka, D. Eglia, P. M. Lushnikovb, I. M. Sigala

a University of Toronto, Department of Mathematics, Toronto, Canada
b University of New Mexico, Department of Mathematics and Statistics, USA
Full-text PDF (380 kB) Citations (6)
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Abstract: The (reduced) Keller–Segel equations modeling chemotaxis of bio-organisms are investigated. A formal derivation and partial rigorous results of the blowup dynamics are presented for solutions of these equations describing the chemotactic aggregation of the organisms. The results are confirmed by numerical simulations, and the formula derived coincides with the formula of Herrero and Velázquez for specially constructed solutions.
Keywords: reaction-diffusion equations, nonlinear partial differential equations, blowup, collapse, chemotaxis, Keller–Segel equation, blowup profile.
Received: 01.12.2012
English version:
St. Petersburg Mathematical Journal, 2014, Volume 25, Issue 4, Pages 547–574
DOI: https://doi.org/10.1090/S1061-0022-2014-01306-4
Bibliographic databases:
Document Type: Article
Language: English
Citation: S. I. Dejak, D. Egli, P. M. Lushnikov, I. M. Sigal, “On blowup dynamics in the Keller–Segel model of chemotaxis”, Algebra i Analiz, 25:4 (2013), 47–84; St. Petersburg Math. J., 25:4 (2014), 547–574
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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