Naslov
Rigorous derivation of a sixth order thin film equation

Autori
Muha, Boris

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, pp prezentacija, znanstveni

Izvornik
Workshop "Waves in Flows" / - , 2018

Skup
Workshop "Waves in Flows"

Mjesto i datum
Prag, Češka Republika, 27.08.2018. - 31.08.2018

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
thin viscous fluids, elastic plate, fluid-structure interaction, linear sixth-order thin-film equation

Sažetak
In this talk we will study a linear 3D/3D fluid- structure interaction between a thin layer of a viscous fluid and a thin elastic body. First, suitable a priori estimates in terms of thickness of the fluid layer and the elastic body, which are both small parameters, will be derived. Using the obtained estimates we will identify the scaling properties of the physical parameters which give rise to a sixth-order thin film equation, which describes the evolution of the thin elastic body interacting with the thin layer of the fluid. We will analyze the convergence of solutions as small parameter (thickness of the domain) tends to zero and possible extensions to the non- linear case will be discussed. This is joined work with M. Bukal, University of Zagreb.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA