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January/February 2009 Sharp asymptotics for a parabolic system of Chemotaxis in one space dimension
Masakazu Kato
Differential Integral Equations 22(1/2): 35-51 (January/February 2009).

Abstract

We study large-time behavior of solutions to the initial-value problem for a parabolic system of chemotaxis in one space dimension. Chemotaxis is the directed movement of amoebae in response to chemical gradients. The aim of this paper is to obtain the first and second asymptotic profiles of solutions to the parabolic system. Then we are able to find out the optimal asymptotic rate of the first asymptotic profiles.

Citation

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Masakazu Kato. "Sharp asymptotics for a parabolic system of Chemotaxis in one space dimension." Differential Integral Equations 22 (1/2) 35 - 51, January/February 2009.

Information

Published: January/February 2009
First available in Project Euclid: 20 December 2012

zbMATH: 1240.35233
MathSciNet: MR2483011

Subjects:

Rights: Copyright © 2009 Khayyam Publishing, Inc.

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Vol.22 • No. 1/2 • January/February 2009
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