Interaction of finitely-strained viscoelastic multipolar solids and fluids by an Eulerian approach
Analysis of PDEs
2023-02-23 v2 Fluid Dynamics
Abstract
A mechanical interaction of compressible viscoelastic fluids with viscoelastic solids in Kelvin-Voigt rheology using the concept of higher-order (so-called 2nd-grade multipolar) viscosity is investigated in a quasistatic variant. The no-slip contact between fluid and solid is considered and the Eulerian-frame return-mapping technique is used for both the fluid and the solid models, which allows for a "monolithic" formulation of this fluid-structure interaction problem. Existence and a certain regularity of weak solutions is proved by a Schauder fixed-point argument combined with a suitable regularization.
Keywords
Cite
@article{arxiv.2205.10814,
title = {Interaction of finitely-strained viscoelastic multipolar solids and fluids by an Eulerian approach},
author = {Tomáš Roubíček},
journal= {arXiv preprint arXiv:2205.10814},
year = {2023}
}