Approximate controllability and stabilizability of a linearized system for the interaction between a viscoelastic fluid and a rigid body
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00546799" target="_blank" >RIV/67985840:_____/21:00546799 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00498-021-00295-x" target="_blank" >https://doi.org/10.1007/s00498-021-00295-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00498-021-00295-x" target="_blank" >10.1007/s00498-021-00295-x</a>
Alternative languages
Result language
angličtina
Original language name
Approximate controllability and stabilizability of a linearized system for the interaction between a viscoelastic fluid and a rigid body
Original language description
We study control properties of a linearized fluid–structure interaction system, where the structure is a rigid body and where the fluid is a viscoelastic material. We establish the approximate controllability and the exponential stabilizability for the velocities of the fluid and of the rigid body and for the position of the rigid body. In order to prove this, we prove a general result for this kind of systems that generalizes in particular the case without structure. The exponential stabilization of the system is obtained with a finite-dimensional feedback control acting only on the momentum equation on a subset of the fluid domain and up to some rate that depends on the coefficients of the system. We also show that as in the case without structure, the system is not exactly null-controllable in finite time.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA19-04243S" target="_blank" >GA19-04243S: Partial differential equations in mechanics and thermodynamics of fluids</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematics of Control Signals and Systems
ISSN
0932-4194
e-ISSN
1435-568X
Volume of the periodical
33
Issue of the periodical within the volume
4
Country of publishing house
GB - UNITED KINGDOM
Number of pages
31
Pages from-to
637-667
UT code for WoS article
000670732100001
EID of the result in the Scopus database
2-s2.0-85109713321