Existence and diffusive limit of a two-species kinetic model of chemotaxis
Analysis of PDEs
2014-04-21 v1
Abstract
In this paper, we propose a kinetic model describing the collective motion by chemotaxis of two species in interaction emitting the same chemoattractant. Such model can be seen as a generalisation to several species of the Othmer-Dunbar-Alt model which takes into account the run-and-tumble process of bacteria. Existence of weak solutions for this two-species kinetic model is studied and the convergence of its diffusive limit towards a macroscopic model of Keller-Segel type is analysed.
Keywords
Cite
@article{arxiv.1404.4769,
title = {Existence and diffusive limit of a two-species kinetic model of chemotaxis},
author = {Luís Almeida and Casimir Emako and Nicolas Vauchelet},
journal= {arXiv preprint arXiv:1404.4769},
year = {2014}
}