Igor Kukavica, Amjad Tuffaha
Published 2021-04-27Version 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 $H^{s}$, where $s>3/2$ and the initial structure velocity is in $H^{s-1/2}$.
On the local existence of solutions to the fluid-structure interaction problem with a free interface
On the local existence of solutions to the Navier-Stokes-wave system with a free interface
On the convergence of fixed point iterations for the moving geometry in a fluid-structure interaction problem
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