A free boundary inviscid model of flow-structure interaction

2025/01/21 by Mustafa Sencer Aydın, Igor Kukavica, Aydın, Mustafa Sencer +3
Engineering · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows

paper · pdf · doi:10.48550/arxiv.2501.12515

openalex publication_date 2025/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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 H²⁺, respectively. The results justify earlier a~priori estimates shown by two of the authors.

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