Local exact controllability to the trajectories of the Navier-Stokes system with nonlinear Navier-slip boundary conditions
ESAIM: Control, Optimisation and Calculus of Variations (2006)
- Volume: 12, Issue: 3, page 484-544
- ISSN: 1292-8119
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topGuerrero, Sergio. "Local exact controllability to the trajectories of the Navier-Stokes system with nonlinear Navier-slip boundary conditions." ESAIM: Control, Optimisation and Calculus of Variations 12.3 (2006): 484-544. <http://eudml.org/doc/249676>.
@article{Guerrero2006,
abstract = {
In this paper we deal with the local exact controllability of the
Navier-Stokes system with nonlinear Navier-slip boundary
conditions and distributed controls supported in small sets. In a
first step, we prove a Carleman inequality for the linearized
Navier-Stokes system, which leads to null controllability of this
system at any time T>0. Then, fixed point arguments lead to the
deduction of a local result concerning the exact controllability
to the trajectories of the Navier-Stokes system.
},
author = {Guerrero, Sergio},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Navier-Stokes system; controllability; slip.; slip},
language = {eng},
month = {6},
number = {3},
pages = {484-544},
publisher = {EDP Sciences},
title = {Local exact controllability to the trajectories of the Navier-Stokes system with nonlinear Navier-slip boundary conditions},
url = {http://eudml.org/doc/249676},
volume = {12},
year = {2006},
}
TY - JOUR
AU - Guerrero, Sergio
TI - Local exact controllability to the trajectories of the Navier-Stokes system with nonlinear Navier-slip boundary conditions
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2006/6//
PB - EDP Sciences
VL - 12
IS - 3
SP - 484
EP - 544
AB -
In this paper we deal with the local exact controllability of the
Navier-Stokes system with nonlinear Navier-slip boundary
conditions and distributed controls supported in small sets. In a
first step, we prove a Carleman inequality for the linearized
Navier-Stokes system, which leads to null controllability of this
system at any time T>0. Then, fixed point arguments lead to the
deduction of a local result concerning the exact controllability
to the trajectories of the Navier-Stokes system.
LA - eng
KW - Navier-Stokes system; controllability; slip.; slip
UR - http://eudml.org/doc/249676
ER -
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