IJPAM: Volume 92, No. 3 (2014)
Mathematical Science Rearch Unit
Muroran Institute of Technology
27-1, Mizumoto Muroran, Hokkaido, 050-8585, JAPAN
Division of Mathematical Science
Graduate School of Engineering Science
Toyonaka, 560-8531, JAPAN
Abstract. We study a parabolic-elliptic system with nonlinear boundary condition, describing the chemotactic aggregation of cellular slime molds. We show the well-posedness locally in time, blowup criterion of the solution, and finiteness of the blowup points.
Received: August 12, 2011
AMS Subject Classification: 35K55, 35K57, 92C15, 92D15
Key Words and Phrases: chemotaxis, parabolic-elliptic, nonlinear boundary condition, blowup solution
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DOI: 10.12732/ijpam.v92i3.1 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 305 - 334
This work is licensed under the Creative Commons Attribution International License (CC BY).