3 papers
math.AP2024
Inviscid fluid interacting with a nonlinear two-dimensional plate
Abhishek Balakrishna, Igor Kukavica, Boris Muha +1
We address a moving boundary problem that consists of a system of equations modeling an inviscid fluid interacting with a two-dimensional nonlinear Koiter plate at the boundary. We…
math.AP2023
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…
math.AP2023
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…