LOCAL STABILIZATION OF COMPRESSIBLE NAVIER-STOKES EQUATIONS IN ONE DIMENSION AROUND NON-ZERO VELOCITY - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Advances in Differential Equations Année : 2017

LOCAL STABILIZATION OF COMPRESSIBLE NAVIER-STOKES EQUATIONS IN ONE DIMENSION AROUND NON-ZERO VELOCITY

Résumé

In this paper we study the local stabilization of one dimensional compressible Navier-Stokes equations around a constant steady solution (ρs, us), where ρs > 0, us = 0. In the case of periodic boundary conditions, we determine a distributed control acting only in the velocity equation, able to stabilize the system, locally around (ρs, us), with an arbitrary exponential decay rate. In the case of Dirichlet boundary conditions, we determine boundary controls for the velocity and for the density at the inflow boundary, able to stabilize the system, locally around (ρs, us), with an arbitrary exponential decay rate.
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Dates et versions

hal-01969915 , version 1 (04-01-2019)

Identifiants

  • HAL Id : hal-01969915 , version 1

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Debanjana Mitra, Mythily Ramaswamy, Jean-Pierre Raymond. LOCAL STABILIZATION OF COMPRESSIBLE NAVIER-STOKES EQUATIONS IN ONE DIMENSION AROUND NON-ZERO VELOCITY. Advances in Differential Equations, 2017, 22 (9-10), pp.693-736. ⟨hal-01969915⟩
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