A parabolic-elliptic chemo-repulsion system in 2D domains with nonlinear production

Authors : Alex Ancomahuarachi, Exequiel Malleazepeda

Pages : 1600-1614

Doi:10.15672/hujms.1133453

View : 123 | Download : 203

Publication Date : 2023-11-03

Article Type : Research Paper

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