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Article Dans Une Revue Archive for Rational Mechanics and Analysis Année : 2012

Local Exact Controllability for the One-Dimensional Compressible Navier-Stokes Equation

Résumé

In this paper we deal with the isentropic (compressible) Navier-Stokes equation in one space dimension and we adress the problem of the boundary controllability for this system. We prove that we can drive initial conditions which are sufficiently close to some constant states to those constant states. This is done under some natural hypotheses on the time of control and on the regularity on the initial conditions.

Dates et versions

hal-00782475 , version 1 (29-01-2013)

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Sylvain Ervedoza, Olivier Glass, Sergio Guerrero, Jean-Pierre Puel. Local Exact Controllability for the One-Dimensional Compressible Navier-Stokes Equation. Archive for Rational Mechanics and Analysis, 2012, 206, pp.189-238. ⟨10.1007/s00205-012-0534-3⟩. ⟨hal-00782475⟩
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