Geodesic
Exact Controllability of an Elastic Membrane Coupled With a Potential Fluid
International Journal of Applied Mathematics and Computer Science, Tome 11 (2001) no. 6, pp. 1231-1248

Voir la notice de l'article provenant de la source Library of Science

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.
Keywords: exact controllability, fluid-elastic interaction, fluid-structure interaction, potential fluid
Mots-clés : sterowność, system elastyczny 
@article{IJAMCS_2001_11_6_a0,
     author = {Hansen, S.},
     title = {Exact {Controllability} of an {Elastic} {Membrane} {Coupled} {With} a {Potential} {Fluid}},
     journal = {International Journal of Applied Mathematics and Computer Science},
     pages = {1231--1248},
     publisher = {mathdoc},
     volume = {11},
     number = {6},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IJAMCS_2001_11_6_a0/}
}
TY  - JOUR
AU  - Hansen, S.
TI  - Exact Controllability of an Elastic Membrane Coupled With a Potential Fluid
JO  - International Journal of Applied Mathematics and Computer Science
PY  - 2001
SP  - 1231
EP  - 1248
VL  - 11
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IJAMCS_2001_11_6_a0/
LA  - en
ID  - IJAMCS_2001_11_6_a0
ER  - 
%0 Journal Article
%A Hansen, S.
%T Exact Controllability of an Elastic Membrane Coupled With a Potential Fluid
%J International Journal of Applied Mathematics and Computer Science
%D 2001
%P 1231-1248
%V 11
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IJAMCS_2001_11_6_a0/
%G en
%F IJAMCS_2001_11_6_a0
Hansen, S. Exact Controllability of an Elastic Membrane Coupled With a Potential Fluid. International Journal of Applied Mathematics and Computer Science, Tome 11 (2001) no. 6, pp. 1231-1248. http://geodesic.mathdoc.fr/item/IJAMCS_2001_11_6_a0/