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A free boundary inviscid model of flow-structure interaction.

Authors :
Kukavica, Igor
Tuffaha, Amjad
Source :
Journal of Differential Equations. Dec2024, Vol. 413, p851-912. 62p.
Publication Year :
2024

Abstract

We obtain the local existence and uniqueness for a system describing interaction of an incompressible inviscid fluid, modeled by the Euler equations, and an elastic plate, represented by the fourth-order hyperbolic PDE. We provide a priori estimates for the existence with the optimal regularity H r , for r > 2.5 , on the fluid initial data and construct a unique solution of the system for initial data u 0 ∈ H r for r ≥ 3. An important feature of the existence theorem is that the Taylor-Rayleigh instability does not occur. This is in contrast to the free-boundary Euler problem, where the stability condition on the initial pressure needs to be imposed. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00220396
Volume :
413
Database :
Academic Search Index
Journal :
Journal of Differential Equations
Publication Type :
Academic Journal
Accession number :
180531011
Full Text :
https://doi.org/10.1016/j.jde.2024.08.045