Stabilization of the non-homogeneous Navier-Stokes equations in a 2d channel
Analysis of PDEs
2018-07-12 v1 Optimization and Control
Abstract
In this article we study the local stabilization of the non-homogeneous Navier- Stokes equations in a 2d channel around Poiseuille flow. We design a feedback control of the velocity which acts on the inflow boundary of the domain such that both the fluid velocity and density are stabilized around Poiseuille flow provided the initial density is given by a constant added with a perturbation, such that the perturbation is supported away from the lateral boundary of the channel. Moreover the feedback control operator we construct has finite dimensional range.
Keywords
Cite
@article{arxiv.1807.04043,
title = {Stabilization of the non-homogeneous Navier-Stokes equations in a 2d channel},
author = {Sourav Mitra},
journal= {arXiv preprint arXiv:1807.04043},
year = {2018}
}