Approximate controllability for linearized compressible barotropic Navier–Stokes system in one and two dimensions |
| |
Authors: | Shirshendu Chowdhury |
| |
Institution: | T.I.F.R. Centre for Applicable Mathematics, Post Bag No. 6503, GKVK Post Office, Bangalore-560065, India |
| |
Abstract: | In this paper we consider compressible barotropic Navier–Stokes equations in one and two dimensions linearized around a constant steady state with Dirichlet boundary conditions. We explore the controllability of this linearized system using a control only for the velocity equation. We prove that the system with homogeneous Dirichlet boundary conditions, is approximately controllable by a localized interior control when time is sufficiently large. |
| |
Keywords: | Linearized compressible barotropic Navier&ndash Stokes equations Localized interior control Approximate controllability |
本文献已被 ScienceDirect 等数据库收录! |