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

Year 2023, Volume: 52 Issue: 6 - Special Issue: Nonlinear Evolution Problems with Applications, 1600 - 1614, 03.11.2023

Alex Ancoma-huarachi , Exequiel Mallea-zepeda

https://doi.org/10.15672/hujms.1133453

Cited By: 1

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

Supporting Institution

FONDECYT de Iniciación, ANID-Chile

Project Number

11200209

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