On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions

Jean-Michel Coron

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 1, page 35-75
  • ISSN: 1292-8119

Abstract

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For boundary or distributed controls, we get an approximate controllability result for the Navier-Stokes equations in dimension 2 in the case where the fluid is incompressible and slips on the boundary in agreement with the Navier slip boundary conditions.

How to cite

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Coron, Jean-Michel. "On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions." ESAIM: Control, Optimisation and Calculus of Variations 1 (2010): 35-75. <http://eudml.org/doc/197350>.

@article{Coron2010,
abstract = { For boundary or distributed controls, we get an approximate controllability result for the Navier-Stokes equations in dimension 2 in the case where the fluid is incompressible and slips on the boundary in agreement with the Navier slip boundary conditions. },
author = {Coron, Jean-Michel},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Navier-Stokes equations; controllability; Navier slip boundary conditions; slip boundary conditions; approximate controllability},
language = {eng},
month = {3},
pages = {35-75},
publisher = {EDP Sciences},
title = {On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions},
url = {http://eudml.org/doc/197350},
volume = {1},
year = {2010},
}

TY - JOUR
AU - Coron, Jean-Michel
TI - On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 1
SP - 35
EP - 75
AB - For boundary or distributed controls, we get an approximate controllability result for the Navier-Stokes equations in dimension 2 in the case where the fluid is incompressible and slips on the boundary in agreement with the Navier slip boundary conditions.
LA - eng
KW - Navier-Stokes equations; controllability; Navier slip boundary conditions; slip boundary conditions; approximate controllability
UR - http://eudml.org/doc/197350
ER -

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