Thumbnail

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

Guerrero, Sergio; Glass, Olivier; Puel, Jean-Pierre; Ervedoza, Sylvain (2012), Local Exact Controllability for the One-Dimensional Compressible Navier–Stokes Equation, Archive for Rational Mechanics and Analysis, 206, 1, p. 189-238. http://dx.doi.org/10.1007/s00205-012-0534-3

View/Open
Type
Article accepté pour publication ou publié
External document link
https://hal.archives-ouvertes.fr/hal-00782475
Date
2012
Journal name
Archive for Rational Mechanics and Analysis
Volume
206
Number
1
Publisher
Springer
Pages
189-238
Publication identifier
Metadata
Show full item record
Author(s)
Guerrero, Sergio
Glass, Olivier
Puel, Jean-Pierre
Ervedoza, Sylvain
Abstract (EN)
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.
Subjects / Keywords
controllability; fluid mechanics; boundary control; PDE control