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

Muriel Boulakia; Sergio Guerrero

Journal of the European Mathematical Society (2013)

- Volume: 015, Issue: 3, page 825-856
- ISSN: 1435-9855

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topBoulakia, 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 -

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