Study of a class of triangular starvation driven cross-diffusion systems
Analysis of PDEs
2024-05-27 v1
Abstract
We study the existence, regularity and uniqueness for a general class of triangular reaction-cross-diffusion systems coming from the study of starvation driven behavior for two species in competition. This study involves an equivalent system in non-divergence form, for which existence can be obtained thanks to Schauder's fixed point theorem.
Cite
@article{arxiv.2405.15457,
title = {Study of a class of triangular starvation driven cross-diffusion systems},
author = {Elisabetta Brocchieri and Laurent Desvillettes and Helge Dietert},
journal= {arXiv preprint arXiv:2405.15457},
year = {2024}
}