Igor Kukavica, Linfeng Li, Amjad Tuffaha
Published 2023-12-27Version 1
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 $H^{1.5+\epsilon}$ and the initial structure velocity is in $H^{1+\epsilon}$, where $\epsilon \in (0, 1/20)$.
Comments: 22 pages. arXiv admin note: substantial text overlap with arXiv:2104.13500
On the local existence of solutions to the fluid-structure interaction problem with a free interface
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