Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing
Analysis of PDEs
2022-02-22 v1
Abstract
New estimates and global existence results are provided for a class of systems of cross diffusion equations arising from the modeling of chemotaxis with local sensing, possibly featuring a growth term of logistic-type as well. For sublinear non-increasing motility functions, convergence to the spatially homogeneous steady state is shown, a dedicated Lyapunov functional being constructed for that purpose.
Cite
@article{arxiv.2202.10246,
title = {Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing},
author = {Laurent Desvillettes and Philippe Laurençot and Ariane Trescases and Michael Winkler},
journal= {arXiv preprint arXiv:2202.10246},
year = {2022}
}