A review on rigorous derivation of reduced models for fluid-structure interaction systems
Analysis of PDEs
2020-06-04 v2
Abstract
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 which fluids are lubricating underneath elastic structures. Justification is based on careful examination of energy estimates, weak convergence results of solutions of the original fluid-structure interaction systems to the solution of the sixth-order thin-film equation, and quantitative error estimates which provide even strong convergence results.
Keywords
Cite
@article{arxiv.2003.00066,
title = {A review on rigorous derivation of reduced models for fluid-structure interaction systems},
author = {Mario Bukal and Boris Muha},
journal= {arXiv preprint arXiv:2003.00066},
year = {2020}
}