Work

A free boundary inviscid model of flow-structure interaction

Year: 2025

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2501.12515

Authors: Aydın, Mustafa Sencer, Kukavica, Igor, Tuffaha, Amjad

Institutions: University of Southern California, American University of Sharjah

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: Regularity and Asymptotic Behavior in Fluid Dynamics

OpenAlex ID: W4406774504

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