On the local existence of solutions to the Navier-Stokes-wave system with a free interface

Igor Kukavica; Linfeng Li; Amjad Tuffaha

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arXiv · 2202.02707

On the local existence of solutions to the Navier-Stokes-wave system with a free interface

Igor Kukavica·Linfeng Li·Amjad Tuffaha

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Abstract

We address a system of equations modeling a compressible fluid interacting with an elastic body in dimension three. We prove the local existence and uniqueness of a strong solution when the initial velocity belongs to the space $H^{2+ε}$ and the initial structure velocity is in $H^{1.5+ε}$ , where $ε\in (0, 1/2)$.

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Igor Kukavica, Linfeng Li, Amjad Tuffaha. 2025-12-31. On the local existence of solutions to the Navier-Stokes-wave system with a free interface. https://arxiv.org/abs/2202.02707

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