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We consider the Euler equations on a domain with free moving interface. The motion of the interface is governed by a 4th order linear Euler-Bernoulli beam equation. The fluid-structure interaction dynamics are realized through normal velocity matching of the fluid and the structure in addition to the aerodynamic forcing due to the fluid pressure.

We derive a-priori estimates and construct local-in-time solutions to the system in the Sobolev space $H^{r}$ with $r > 5/2$. We also establish uniqueness in the Sobolev space $H^{r}$ with $r > 3$.

An important consequence of the existence theorem is that the Taylor-Rayleigh instability does not occur. This is joint work with Igor Kukavica.