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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
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