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Title: On the Local Existence of Solutions to the Fluid–Structure Interaction Problem with a Free Interface
Abstract

We address a system of equations modeling an incompressible fluid interacting with an elastic body. We prove the local existence when the initial velocity belongs to the space$$H^{1.5+\epsilon }$$H1.5+ϵand the initial structure velocity is in$$H^{1+\epsilon }$$H1+ϵ, where$$\epsilon \in (0, 1/20)$$ϵ(0,1/20).

 
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PAR ID:
10553977
Author(s) / Creator(s):
; ;
Publisher / Repository:
Springer Science + Business Media
Date Published:
Journal Name:
Applied Mathematics & Optimization
Volume:
90
Issue:
3
ISSN:
0095-4616
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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