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- Publisher
- Springer Journals
- Copyright
- Copyright © 2015 by Springer Science+Business Media Dordrecht
- Subject
- Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Statistical Physics, Dynamical Systems and Complexity; Mechanics
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1007/s10440-015-0031-4
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, we are concerned with the Cauchy problem to the multi-dimensional ( N ≥ 4 $N\geq4$ ) chemotaxis model. We prove the optimal convergence rates of the strong solutions to the system for initial data close to a stable equilibrium state in critical Besov spaces. Our main ideas are based on the low-high frequency decomposition and the smooth effect of dissipative operator.
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: Nov 12, 2015