Boundedness for a nonlocal reaction chemotaxis model even in the attraction-dominated regime
Analysis of PDEs
2020-04-24 v1
Abstract
This work deals with a parabolic chemotaxis model with nonlinear diffusion and nonlocal reaction source. The problem is formulated on the whole space and, depending on a specific interplay between the coefficients associated to such diffusion and reaction, we establish that all given solutions are uniformly bounded in time.
Keywords
Cite
@article{arxiv.2004.10991,
title = {Boundedness for a nonlocal reaction chemotaxis model even in the attraction-dominated regime},
author = {Tongxing Li and Giuseppe Viglialoro},
journal= {arXiv preprint arXiv:2004.10991},
year = {2020}
}