Abstract
Abstract
This article is devoted to the analysis of the parabolic–parabolic chemotaxis system with multi-components over
$\mathbb{R}^2$
. The optimal small initial condition on the global existence of solutions for multi-species chemotaxis model in the fully parabolic situation had not been attained as far as the author knows. In this paper, we prove that under the sub-critical mass condition, any solutions to conflict-free system exist globally. Moreover, the global existence of solutions to system with strong self-repelling effect has been discussed even for large initial data. The proof is based on the modified free energy functional and the Moser–Trudinger inequality for system.
Publisher
Cambridge University Press (CUP)