Application of Orlicz regularity theory in two dimensional chemotaxis systems with logistic sources
Analysis of PDEs
2023-12-27 v1
Abstract
The objective is to investigate the global existence of solutions for a degenerate chemotaxis system with logistic sources in a two-dimensional domain. It is demonstrated that the inclusion of logistic sources can exclude the occurrence of blow-up solutions, even in the presence of superlinear growth in the cross-diffusion rate. Our proof relies on the application of elliptic and parabolic regularity in Orlicz spaces and variational approach.
Keywords
Cite
@article{arxiv.2312.15759,
title = {Application of Orlicz regularity theory in two dimensional chemotaxis systems with logistic sources},
author = {Minh Le},
journal= {arXiv preprint arXiv:2312.15759},
year = {2023}
}