Existence of a Local Solution for an Attraction-Repulsion Chemotaxis System with Nonlinear Diffusion and a Logistic Source
Year: 2024
Type: article
Abstract: In this paper, we are concerned with a model arising from biology, which is a coupled system of chemotaxis equations and viscous compressible fluid equations through transport and external forcing. The local existence of solutions to the Cauchy problem is investigated under certain conditions. Precisely, for an attraction-repulsion chemotaxis model system over three space dimensions, we obtain local existence and uniqueness of convergence on classical solutions near constant states. We prove local existence of unique solutions in three dimensions by using energy estimates.
Authors: Mofeda A Neser, Aesha A Lagha
Institution: Al Zawiya University
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4404453624