15 citations · 16 across the 17 of their papers we have counts for
17 papers
Euler Immersion
Igor Kukavica, Amjad Tuffaha, Qi Xu
We address the Euler immersion problem, a fluid-structure interaction problem in which an elastic body is immersed in an incompressible inviscid fluid governed by the Euler equatio…
A geophysical free-boundary system modeling an ice-sheet interacting with an ocean
Matthias Hieber, Igor Kukavica, Amjad Tuffaha +1
We consider a free-boundary model for the ice-sheet interacting with an ocean. The model captures the coupling between a viscous geophysical fluid and an elastic interface through…
The Euler equations with variable coefficients
Benjamin Ingimarson, Igor Kukavica, Amjad Tuffaha
We establish local-in-time existence for the Euler equations on a bounded domain with space-time dependent variable coefficients, given initial data under the optimal…
Optimization of a Nonlinear Acoustics -- Structure Interaction Model
Barbara Kaltenbacher, Amjad Tuffaha
In this paper, we consider a control/shape optimization problem of a nonlinear acoustics-structure interaction model of PDEs, whereby acoustic wave propagation in a chamber is gove…
A free boundary inviscid model of flow-structure interaction
Mustafa Sencer Aydın, Igor Kukavica, Amjad Tuffaha
We address the existence and of solutions for the Euler-plate free-boundary system modeling an interaction of a three-dimensional inviscid fluid and an evolving plate. We prove the…
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…