15 citations · 35 across the 40 of their papers we have counts for
8 papers · 2 filters
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…
On the mass transfer in the 3D Pitaevskii model
Juhi Jang, Pranava Chaitanya Jayanti, Igor Kukavica
We examine a micro-scale model of superfluidity derived by Pitaevskii in 1959 which describes the interacting dynamics between superfluid He-4 and its normal fluid phase. This syst…
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…
Small-data global existence of solutions for the Pitaevskii model of superfluidity
Juhi Jang, Pranava Chaitanya Jayanti, Igor Kukavica
We investigate a micro-scale model of superfluidity derived by Pitaevskii in 1959 to describe the interacting dynamics between the superfluid and normal fluid phases of Helium-4. T…
On Asymptotic Properties of the Boussinesq Equations
Mustafa Sencer Aydın, Igor Kukavica, Mohammed Ziane
We address the long time behavior of the Boussinesq system coupling the Navier-Stokes equations driven by density with the non-diffusive equation for the density. We construct solu…