Boundedness in a nonlinear chemotaxis-consumption model with gradient terms
Analysis of PDEs
2025-01-24 v1
Abstract
We study a chemotaxis-consumption mechanism, in which some chemical signal and cells density interact each other. In order to control the concentration of such a population, sources involving gradient nonlinearities, which introduce a dampening effect on the model, are considered. Moreover, the system is characterized by nonlinear diffusion and sensitivity terms. We derive conditions on some data of the problem so to ensure the boundedness of related solutions.
Cite
@article{arxiv.2501.13224,
title = {Boundedness in a nonlinear chemotaxis-consumption model with gradient terms},
author = {Daniel Acosta Soba and Alessandro Columbu and Giuseppe Viglialoro},
journal= {arXiv preprint arXiv:2501.13224},
year = {2025}
}