Local controllability of the N-dimensional Boussinesq system with N-1 scalar controls in an arbitrary control domain

TL;DR

This paper establishes local exact controllability of the N-dimensional Boussinesq system with specific internal controls, without restrictions on the control domain, advancing control theory for fluid dynamics systems.

Contribution

It proves local controllability for the Boussinesq system with N-1 scalar controls in arbitrary domains, removing previous domain restrictions.

Findings

Achieved controllability without domain restrictions

Extended control results to N-dimensional Boussinesq systems

Demonstrated effectiveness of internal controls with vanishing components

Abstract

In this paper we deal with the local exact controllability to a particular class of trajectories of the N-dimensional Boussinesq system with internal controls having 2 vanishing components. The main novelty of this work is that no condition is imposed on the control domain.