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arXiv · 2501.12515

A free boundary inviscid model of flow-structure interaction

Mustafa Sencer Aydın·Igor Kukavica·Amjad Tuffaha
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Abstract

We address the existence and of solutions for the Euler-plate free-boundary system modeling an interaction of a three-dimensional inviscid fluid and an evolving plate. We prove the local existence and uniqueness of solutions for initial fluid and structural velocities belonging to $H^{2.5+}$ and $H^{2+}$, respectively. The results justify earlier a~priori estimates shown by two of the authors.

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Mustafa Sencer Aydın, Igor Kukavica, Amjad Tuffaha. 2025-01-21. A free boundary inviscid model of flow-structure interaction. https://arxiv.org/abs/2501.12515

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