Differential and Integral Equations

Sharp asymptotics for a parabolic system of Chemotaxis in one space dimension

Masakazu Kato

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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.

Article information

Differential Integral Equations, Volume 22, Number 1/2 (2009), 35-51.

First available in Project Euclid: 20 December 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35K45, 35K55, 35B40


Kato, Masakazu. Sharp asymptotics for a parabolic system of Chemotaxis in one space dimension. Differential Integral Equations 22 (2009), no. 1/2, 35--51. https://projecteuclid.org/euclid.die/1356038553

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