Differential and Integral Equations
- Differential Integral Equations
- Volume 22, Number 1/2 (2009), 35-51.
Sharp asymptotics for a parabolic system of Chemotaxis in one space dimension
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.
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