- Tytuł:
- Stabilization of a fluid structure interaction with nonlinear damping
- Autorzy:
-
Lasiecka, I.
Lu, Y. - Powiązania:
- https://bibliotekanauki.pl/articles/206598.pdf
- Data publikacji:
- 2013
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
fluid structure interaction
interface
Navier-Stokes equation
system of elasticity
feedback boundary control
strong stability
uniform stability
optimal control
passive damping
active damping
dynamic and static damping - Opis:
- Asymptotic stability of finite energy solutions to a fluid-structure interaction with a static interface in a bounded domain Ω ∈ Rn, n = 2 is considered. It is shown that the undamped model subject to ”partial flatness” geometric condition on the in- terface produces solutions whose energy converges strongly to zero; while with a stress type feedback control applied on the interface of the structure, the model produces solutions whose energy is exponentially stable. An addition of a static damping on the interface produces solutions whose full norm in the phase space is exponentially stable. Without a static damping an interesting phenomenon occurs that steady state solutions (equilibria) might generate genuinely growing in time solutions. This is purely nonlinear phenomenon captured by newly developed techniques amenable to handle instability of steady state solutions arising from nonlinearity.
- Źródło:
-
Control and Cybernetics; 2013, 42, 1; 155-181
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł