Naslov
Asymptotic analysis of a thin fluid layer-elastic plate interaction problem

Autori
Ćurković, Andrijana ; Marušić-Paloka, Eduard

Izvornik
Applicable analysis (0003-6811) 98 (2019), 11; 2118-2143

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
fluid-structure interaction ; Stokes equations ; elastic plate ; asymptotic analysis

Sažetak
We study the nonstationary flow of an incompressible fluid in a thin rectangle with an elastic plate as the upper part of the boundary. The flow is governed by a time-dependent pressure drop and an external force and it is modeled by Stokes equations. The dynamic of this fluid–structure interaction problem is studied in the limit when the thickness of the fluid domain tends to zero. Using the asymptotic techniques, we obtain for the effective plate displacement a sixth-order parabolic equation with a non standard boundary conditions. Results on existence, uniqueness and regularity of the solution are proved. The approximation is justified through a weak convergence theorem.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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