Blow-up prevention by sublinear production in a n-dimensional attraction-repulsion chemotaxis system
Analysis of PDEs
2019-07-29 v1
Abstract
In this paper we study a zero-flux attraction-repulsion che\-mo\-taxis-system. We show that despite any mutual interplay between the repulsive and attractive coefficients from the corresponding chemo-sensitivities, even less any restriction on their own sizes, if the production rate of that chemical signal responsible of the cellular coalescence is sublinear, then any initial data emanate a unique global classical solution, which is as well bounded. Further, in a remark of the manuscript, we also address an open question given in \cite{Viglialoro2019RepulsionAttraction}.
Keywords
Cite
@article{arxiv.1907.11591,
title = {Blow-up prevention by sublinear production in a n-dimensional attraction-repulsion chemotaxis system},
author = {Nicola Pintus and Giuseppe Viglialoro},
journal= {arXiv preprint arXiv:1907.11591},
year = {2019}
}