15 citations · 16 across the 14 of their papers we have counts for
4 papers · 1 filter
On the local existence of solutions to the fluid-structure interaction problem with a free interface
Igor Kukavica, Linfeng Li, Amjad Tuffaha
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^{…
On the interaction between compressible inviscid flow and an elastic plate
Igor Kukavica, Šárka Nečasová, Amjad Tuffaha
We address a free boundary model for the compressible Euler equations where the free boundary, which is elastic, evolves according to a weakly damped fourth order hyperbolic equati…
Well-posedness of a Nonlinear Acoustics -- Structure Interaction Model
Barbara Kaltenbacher, Amjad Tuffaha
We establish local-in-time and global in time well-posedness for small data, for a coupled system of nonlinear acoustic structure interactions. The model consists of the nonlinear…
Construction of the free-boundary 3D incompressible Euler flow under limited regularity
Mustafa Sencer Aydin, Igor Kukavica, Wojciech S. Ożański +1
We consider the three-dimensional Euler equations in a domain with a free boundary with no surface tension. We construct unique local-in-time solutions in the Lagrangian setting fo…