# Exact controllability of an elastic membrane coupled with a potential fluid

International Journal of Applied Mathematics and Computer Science (2001)

- Volume: 11, Issue: 6, page 1231-1248
- ISSN: 1641-876X

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topHansen, Scott. "Exact controllability of an elastic membrane coupled with a potential fluid." International Journal of Applied Mathematics and Computer Science 11.6 (2001): 1231-1248. <http://eudml.org/doc/207552>.

@article{Hansen2001,

abstract = {We consider the problem of boundary control of an elastic system with coupling to a potential equation. The potential equation represents the linearized motions of an incompressible inviscid fluid in a cavity bounded in part by an elastic membrane. Sufficient control is placed on a portion of the elastic membrane to insure that the uncoupled membrane is exactly controllable. The main result is that if the density of the fluid is sufficiently small, then the coupled system is exactly controllable.},

author = {Hansen, Scott},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {fluid-structure interaction; potential fluid; exact controllability; fluid-elastic interaction; motions of a fluid; boundary control; elastic system; coupling to a potential equation; density; coupled system},

language = {eng},

number = {6},

pages = {1231-1248},

title = {Exact controllability of an elastic membrane coupled with a potential fluid},

url = {http://eudml.org/doc/207552},

volume = {11},

year = {2001},

}

TY - JOUR

AU - Hansen, Scott

TI - Exact controllability of an elastic membrane coupled with a potential fluid

JO - International Journal of Applied Mathematics and Computer Science

PY - 2001

VL - 11

IS - 6

SP - 1231

EP - 1248

AB - We consider the problem of boundary control of an elastic system with coupling to a potential equation. The potential equation represents the linearized motions of an incompressible inviscid fluid in a cavity bounded in part by an elastic membrane. Sufficient control is placed on a portion of the elastic membrane to insure that the uncoupled membrane is exactly controllable. The main result is that if the density of the fluid is sufficiently small, then the coupled system is exactly controllable.

LA - eng

KW - fluid-structure interaction; potential fluid; exact controllability; fluid-elastic interaction; motions of a fluid; boundary control; elastic system; coupling to a potential equation; density; coupled system

UR - http://eudml.org/doc/207552

ER -

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