COUPLING OF THE POLLUTANT TRANSPORT AND DISSOLUTION EQUATION WITH THE NAVIER-STOKES EQUATION LINEARIZED AROUND A CONSTANT STATE

Far East Journal of Mathematical Sciences (FJMS) 2026 Open access

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Authors: Djibo Moustapha, Badjo Kimba Abdoul Wahid, ABANI MAIDAOUA Ali, Saley Bisso
DOI: 10.17654/0972087126047
Cited by: 0

Abstract

In this paper, we consider the coupling of the pollutant transport and dissolution equation with the one-dimensional Navier-Stokes equation linearized around an equilibrium state , , , with periodic boundary conditions. The objective of this work is to study the existence and uniqueness of the solution of this linearized coupled system, using only a control for the rate equation.

Fields of Study & Subjects

Navier-Stokes equation solutions Differential Equations and Boundary Problems Stability and Controllability of Differential Equations

Publication details

Journal / source
Far East Journal of Mathematical Sciences (FJMS)
Volume
143
Issue
3
Pages
813–838
Publication date
6 February 2026