Global existence for an attraction-repulsion chemotaxis fluid model with logistic source
Analysis of PDEs
2017-09-14 v1
Abstract
We consider an attraction-repulsion chemotaxis model coupled with the Navier-Stokes system. This model describes the interaction between a type of cells (e.g., bacteria), which proliferate following a logistic law, and two chemical signals produced by the cells themselves that degraded at a constant rate. Also, it is considered that the chemoattractant is consumed with a rate proportional to the amount of organisms. The cells and chemical substances are transported by a viscous incompressible fluid under the influence of a force due to the aggregation of cells. We prove the existence of global mild solutions in bounded domains of RN , N = 2, 3, for small initial data in Lp-spaces.
Cite
@article{arxiv.1709.04032,
title = {Global existence for an attraction-repulsion chemotaxis fluid model with logistic source},
author = {Abelardo Duarte-Rodríguez and Lucas C. F. Ferreira and Élder J. Villamizar-Roa},
journal= {arXiv preprint arXiv:1709.04032},
year = {2017}
}