15 citations · 32 across the 13 of their papers we have counts for
16 papers
A free boundary inviscid model of flow-structure interaction
Igor Kukavica, Amjad Tuffaha
We obtain the local existence and uniqueness for a system describing interaction of an incompressible inviscid fluid, modeled by the Euler equations, and an elastic plate, represen…
Local existence of strong solutions to the stochastic Navier-Stokes equations with data
Igor Kukavica, Fanhui Xu
For the stochastic Navier-Stokes equations with a multiplicative white noise on , we prove that there exists a unique strong solution locally in time when the init…
Asymptotic properties of the Boussinesq Equations with Dirichlet Boundary Conditions
Igor Kukavica, David Massatt, Mohammed Ziane
We address the asymptotic properties for the Boussinesq equations with vanishing thermal diffusivity in a bounded domain with no-slip boundary conditions. We show the dissipation o…
Exact Boundary Controllability for the Ideal Magneto-hydrodynamic Equations
Igor Kukavica, Matthew Novack, Vlad Vicol
We address the problem of controllability of the MHD system in a rectangular domain with a control prescribed on the side boundary. We identify a necessary and sufficient condition…
On quantitative uniqueness for parabolic equations
Igor Kukavica, Quinn Le
We consider the quantitative uniqueness properties for a parabolic type equation , when and $w \in L^{q_2}_{t} L…
Mach limits in analytic spaces on exterior domains
Juhi Jang, Igor Kukavica, Linfeng Li
We address the Mach limit problem for the Euler equations in an exterior domain with analytic boundary. We first prove the existence of tangential analytic vector fields for the ex…