Rigorous derivation of a linear sixth-order thin-film equation as a reduced model for thin fluid–thin structure interaction problems

M Bukal, B Muha - Applied Mathematics & Optimization, 2021 - Springer
We analyze a linear 3D/3D fluid–structure interaction problem between a thin layer of a
viscous fluid and a thin elastic plate-like structure with the aim of deriving a simplified …

A Review on Rigorous Derivation of Reduced Models for Fluid–Structure Interaction Systems

M Bukal, B Muha - Waves in Flows: The 2018 Prague-Sum Workshop …, 2020 - Springer
In this paper we review and systematize the mathematical theory on justification of sixth-
order thin-film equations as reduced models for various fluid–structure interaction systems in …