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arXiv · 2104.13500

On the local existence of solutions to the fluid-structure interaction problem with a free interface

Igor Kukavica·Amjad Tuffaha
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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 $H^{s}$, where $s>3/2$ and the initial structure velocity is in $H^{s-1/2}$.

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Igor Kukavica, Amjad Tuffaha. 2021-04-27. On the local existence of solutions to the fluid-structure interaction problem with a free interface. https://arxiv.org/abs/2104.13500

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