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 …

Analysis of Contact Occurrence in Fluid–Structure Interaction System Under the Thin Film Approximation

JJ Casanova, M Hillairet - Journal of Mathematical Fluid Mechanics, 2021 - Springer
In this paper, we consider the interactions between a 2D film of an incompressible viscous
fluid deposited on a solid substrate and an elastic 2D structure delimiting the upper …