- Hacettepe Journal of Mathematics and Statistics
- Cilt: 52 Sayı: 6 - Special Issue: Nonlinear Evolution Problems with Applications
- A parabolic-elliptic chemo-repulsion system in 2D domains with nonlinear production
A parabolic-elliptic chemo-repulsion system in 2D domains with nonlinear production
Authors : Alex Ancoma-huarachi, Exequiel Mallea-zepeda
Pages : 1600-1614
Doi:10.15672/hujms.1133453
View : 91 | Download : 192
Publication Date : 2023-11-03
Article Type : Research
Abstract :In this paper we analyze a parabolic-elliptic chemo-repulsion system with superlinear production term in two-dimensional domains. Under the injection extract chemical substance on a subdomain $\\omega\\subset\\Omega\\subset\\mathbb{R}^2$, we prove the existence and uniqueness of global-in-time strong solutions at finite time.Keywords : Strong solutions, Uniqueness, chemo-repulsion systems