@article{Champion2024, 
author = {Marguerite Champion and Miguel A. Fernández and Céline Grandmont and Fabien Vergnet and Marina Vidrascu},
title = {On the analysis of a mechanically consistent model of fluid-structure-contact interaction},
year = {2024},
journal = {Mathematics in Engineering},
volume = {6},
number = {3},
pages = {425-467},
keywords = {fluid-structure interaction, collision paradox, Stokes flow, Darcy flow, Navier boundary conditions},
url = {https://www.sciopen.com/article/10.3934/mine.2024018},
doi = {10.3934/mine.2024018},
abstract = {This paper is devoted to the mathematical analysis of the contact capabilities of the fluid-structure interaction (FSI) model with seepage reported in [Comput. Methods Appl. Mech., 392:114637, 2022]. In the case of a rigid disk moving over a fixed horizontal plane, we show that this model encompasses contact and hence removes the non collision paradox of traditional FSI models which rely on Dirichlet or Dirichlet/Navier boundary conditions. Numerical evidence on the theoretical results is also provided.}
}