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arXiv · 2307.02687

On time-periodic solutions to an interaction problem between compressible viscous fluids and viscoelastic beams

Ondřej Kreml·Václav Mácha·Šárka Nečasová·Srđan Trifunović
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Abstract

In this paper, we study a nonlinear fluid-structure interaction problem between a viscoelastic beam and a compressible viscous fluid. The beam is immersed in the fluid which fills a two-dimensional rectangular domain with periodic boundary conditions. Under the effect of periodic forces acting on the beam and the fluid, at least one time-periodic weak solution is constructed which has a bounded energy and a fixed prescribed mass.

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Ondřej Kreml, Václav Mácha, Šárka Nečasová, Srđan Trifunović. 2023-07-05. On time-periodic solutions to an interaction problem between compressible viscous fluids and viscoelastic beams. https://arxiv.org/abs/2307.02687

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