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arXiv · 2507.10523

Equilibrium configurations of a 3D fluid-beam interaction problem

Vincenzo Bianca·Edoardo Bocchi·Filippo Gazzola
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Abstract

We study a fluid-structure interaction problem between a viscous incompressible fluid and an elastic beam with fixed endpoints in a static setting. The 3D fluid domain is bounded, nonsmooth and non simply connected, the fluid is modeled by the stationary Navier-Stokes equations subject to inflow/outflow conditions. The structure is modeled by a stationary 1D beam equation with a load density involving the force exerted by the fluid and, thereby, may vary its position. In a smallness regime, we prove the existence and uniqueness of the solution to the PDE-ODE coupled system.

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Vincenzo Bianca, Edoardo Bocchi, Filippo Gazzola. 2025-07-14. Equilibrium configurations of a 3D fluid-beam interaction problem. https://arxiv.org/abs/2507.10523

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