Stabilization in a two dimensional two-species aerotaxis-Navier-Stokes system

This paper deals with the two-species aerotaxis-Navier-Stokes equations with Lotka-Volterra competitive kinetics in a two dimensional domain Omega subset of R-2. We consider the general chemotactic sensitivity functions and oxygen(chemical) consumption rate functions. We obtain the stabilization of the solution to the system. For the specific conditions on the chemotactic sensitivity and initial data, we obtain the global stabilization when the competition between two species is stronger than that of each own species. (C) 2020 Elsevier Ltd. All rights reserved.

Automated summary

This study focuses on the two-species aerotaxis-Navier-Stokes equations with Lotka-Volterra competitive kinetics in a two-dimensional domain, considering general chemotactic sensitivity functions and oxygen consumption rate functions. The research results in the stabilization of the solution to the system, with global stabilization observed under specific conditions regarding chemotactic sensitivity and initial data, when the competition between two species is stronger than that within each species.