Exact controllability of an elastic membrane coupled with a potential fluid

Scott Hansen

International Journal of Applied Mathematics and Computer Science (2001)

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

Abstract

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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.

How to cite

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Hansen, 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 -

References

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