# Exact controllability in fluid–solid structure : the Helmholtz model

Jean-Pierre Raymond; Muthusamy Vanninathan

ESAIM: Control, Optimisation and Calculus of Variations (2005)

- Volume: 11, Issue: 2, page 180-203
- ISSN: 1292-8119

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topRaymond, Jean-Pierre, and Vanninathan, Muthusamy. "Exact controllability in fluid–solid structure : the Helmholtz model." ESAIM: Control, Optimisation and Calculus of Variations 11.2 (2005): 180-203. <http://eudml.org/doc/245855>.

@article{Raymond2005,

abstract = {A model representing the vibrations of a fluid-solid coupled structure is considered. Following Hilbert Uniqueness Method (HUM) introduced by Lions, we establish exact controllability results for this model with an internal control in the fluid part and there is no control in the solid part. Novel features which arise because of the coupling are pointed out. It is a source of difficulty in the proof of observability inequalities, definition of weak solutions and the proof of controllability results.},

author = {Raymond, Jean-Pierre, Vanninathan, Muthusamy},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {fluid – solid structure; exact controllability; Fluid- solid structure},

language = {eng},

number = {2},

pages = {180-203},

publisher = {EDP-Sciences},

title = {Exact controllability in fluid–solid structure : the Helmholtz model},

url = {http://eudml.org/doc/245855},

volume = {11},

year = {2005},

}

TY - JOUR

AU - Raymond, Jean-Pierre

AU - Vanninathan, Muthusamy

TI - Exact controllability in fluid–solid structure : the Helmholtz model

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2005

PB - EDP-Sciences

VL - 11

IS - 2

SP - 180

EP - 203

AB - A model representing the vibrations of a fluid-solid coupled structure is considered. Following Hilbert Uniqueness Method (HUM) introduced by Lions, we establish exact controllability results for this model with an internal control in the fluid part and there is no control in the solid part. Novel features which arise because of the coupling are pointed out. It is a source of difficulty in the proof of observability inequalities, definition of weak solutions and the proof of controllability results.

LA - eng

KW - fluid – solid structure; exact controllability; Fluid- solid structure

UR - http://eudml.org/doc/245855

ER -

## References

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## Citations in EuDML Documents

top- S. Ervedoza, M. Vanninathan, Controllability of a simplified model of fluid-structure interaction
- Muriel Boulakia, Axel Osses, Local null controllability of a two-dimensional fluid-structure interaction problem
- Muriel Boulakia, Axel Osses, Local null controllability of a two-dimensional fluid-structure interaction problem

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