Blow-up prevention by sub-logistic sources in Keller-Segel cross diffusion type system
Analysis of PDEs
2023-03-14 v1
Abstract
The focus of this paper is on solutions to a two-dimensional Keller-Segel system containing sub-logistic sources. We show that the presence of sub-logistic terms is adequate to prevent blow-up phenomena even in strongly degenerate Keller-Segel systems. Our proof relies on several techniques, including parabolic regularity theory in Orlicz spaces, variational arguments, interpolation inequalities, and the Moser iteration method.
Keywords
Cite
@article{arxiv.2303.06351,
title = {Blow-up prevention by sub-logistic sources in Keller-Segel cross diffusion type system},
author = {Minh Le},
journal= {arXiv preprint arXiv:2303.06351},
year = {2023}
}