Justification of a nonlinear sixth-order thin-film equation as the reduced model for a fluid–structure interaction problem

M Bukal, B Muha - Nonlinearity, 2022 - iopscience.iop.org
Starting from a nonlinear 2D/1D fluid–structure interaction problem between a thin layer of a
viscous fluid and a thin elastic structure, in the vanishing limit of the relative fluid thickness …

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 …

[PDF][PDF] Error estimates for an effective model for the interaction between a thin fluid film and an elastic plate

A Curkovic - 2024 - math.pmf.unizg.hr
The non-steady flow of an incompressible fluid in a thin rectangle domain with an elastic
plate as the upper part of the boundary is studied. The flow is modeled by the Stokes …

[PDF][PDF] Mathematical and Numerical Modeling of a Given Field of Temperature Influence on the Pressure Variation in a Fluid-Structure Interaction Problem

A Ciorogar, R Stavre - … and Engineering (ISAME22) January 21-23 …, 2022 - ntmsci.com
In the first part of this work we propose a mathematical model that describes the interaction
between a viscous fluid (blood) and an elastic structure (vessel wall) under the influence of …