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

2023/07/05 by Ondřej Kreml, Kreml, Ondřej, Václav Mácha +5 · 1 citation
Computer Science · Engineering · #35B10 #74F10 (Primary) #76N06 (Secondary) #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Stability and Controllability of Differential Equations #Vibration and Dynamic Analysis

paper · pdf · doi:10.48550/arxiv.2307.02687

openalex publication_date 2023/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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• Strong time-periodic solutions to a multilayered fluid-structure interaction problem

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