Local null controllability of a fluid-solid interaction problem in dimension 3

Boulakia, Muriel, and Guerrero, Sergio. "Local null controllability of a fluid-solid interaction problem in dimension 3." Journal of the European Mathematical Society 015.3 (2013): 825-856. <http://eudml.org/doc/277776>.

@article{Boulakia2013,
abstract = {We are interested by the three-dimensional coupling between an incompressible fluid and a rigid body. The fluid is modeled by the Navier-Stokes equations, while the solid satisfies the Newton's laws. In the main result of the paper we prove that, with the help of a distributed control, we can drive the fluid and structure velocities to zero and the solid to a reference position provided that the initial velocities are small enough and the initial position of the structure is close to the reference position. This is done without any condition on the geometry of the rigid body.},
author = {Boulakia, Muriel, Guerrero, Sergio},
journal = {Journal of the European Mathematical Society},
keywords = {fluid-solid interaction; controllability; Carleman estimate; fluid-solid interaction; controllability; Carleman estimate},
language = {eng},
number = {3},
pages = {825-856},
publisher = {European Mathematical Society Publishing House},
title = {Local null controllability of a fluid-solid interaction problem in dimension 3},
url = {http://eudml.org/doc/277776},
volume = {015},
year = {2013},
}

TY - JOUR
AU - Boulakia, Muriel
AU - Guerrero, Sergio
TI - Local null controllability of a fluid-solid interaction problem in dimension 3
JO - Journal of the European Mathematical Society
PY - 2013
PB - European Mathematical Society Publishing House
VL - 015
IS - 3
SP - 825
EP - 856
AB - We are interested by the three-dimensional coupling between an incompressible fluid and a rigid body. The fluid is modeled by the Navier-Stokes equations, while the solid satisfies the Newton's laws. In the main result of the paper we prove that, with the help of a distributed control, we can drive the fluid and structure velocities to zero and the solid to a reference position provided that the initial velocities are small enough and the initial position of the structure is close to the reference position. This is done without any condition on the geometry of the rigid body.
LA - eng
KW - fluid-solid interaction; controllability; Carleman estimate; fluid-solid interaction; controllability; Carleman estimate
UR - http://eudml.org/doc/277776
ER -