4 citations · 5 across the 10 of their papers we have counts for
10 papers
Global existence of the stochastic Navier-Stokes equations in with small data
Igor Kukavica, Fanhui Xu
We address the global-in-time existence and pathwise uniqueness of solutions for the stochastic incompressible Navier-Stokes equations with a multiplicative noise on the three-dime…
Exact boundary controllability of the 3D incompressible ideal MHD system
Igor Kukavica, Wojciech S. Ożański
We consider the three-dimensional ideal MHD system on a domain with a part of the boundary~, where we prescribe both and $b\cdo…
Uniform bounds and the inviscid limit for the Navier-Stokes equations with Navier boundary conditions
Mustafa Sencer Aydın, Igor Kukavica
We consider the vanishing viscosity problem for solutions of the Navier-Stokes equations with Navier boundary conditions in the half-space. We lower the currently known conormal re…
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 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…