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A free boundary inviscid model of flow-structure interaction.
- 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]
- Subjects :
- *EXISTENCE theorems
*ELASTIC plates & shells
*FLUIDS
*A priori
Subjects
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