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

被引:1
|
作者
Sylvain Ervedoza
Olivier Glass
Sergio Guerrero
Jean-Pierre Puel
机构
[1] Institut de Mathétiques de Toulouse UMR 5219,UPS, INSA, INP, ISAE, UT1, UTM, IMT
[2] CNRS,Ceremade (UMR CNRS No. 7534)
[3] Université de Toulouse,UMR 7598 Laboratoire Jacques
[4] Université Paris-Dauphine,Louis Lions
[5] Université Pierre et Marie Curie-Paris 6,Ikerbasque and BCAM
[6] Bizkaia Technology Park,LMV
[7] Université de Versailles,undefined
关键词
Weight Function; Global Controllability; Carleman Estimate; Point Argument; Boussinesq System;
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摘要
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.
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页码:189 / 238
页数:49
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