Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange
Analysis of PDEs
2022-03-01 v3
Abstract
In this paper, we study a nonlinear interaction problem between a thermoelastic shell and a heat-conducting fluid. The shell is governed by linear thermoelasticity equations and encompasses a time-dependent domain which is filled with a fluid governed by the full Navier-Stokes-Fourier system. The fluid and the shell are fully coupled, giving rise to a novel nonlinear moving boundary fluid-structure interaction problem involving heat exchange. The existence of a weak solution is obtained by combining three approximation techniques -- decoupling, penalization and domain extension. This approximation scheme allows us to use the methods already developed for fluids on moving domains, thus drastically simplifying the analysis at hand.
Cite
@article{arxiv.2109.11096,
title = {Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange},
author = {Václav Mácha and Boris Muha and Šárka Nečasová and Arnab Roy and Srđan Trifunović},
journal= {arXiv preprint arXiv:2109.11096},
year = {2022}
}