I. Kukavica

activity

20242026

collaborators

10 papers

math.AP2026

The analytic method of constructing local-in-time solutions of the incompressible Euler equations in Sobolev spaces

I. Kukavica, W. S. OÅ¼aÅski

We introduce a new method for constructing local-in-time solutions of the incompressible Euler equations in Sobolev spaces on an arbitrary Sobolev bounded domain. The method is bas…

math.AP2026

Gevrey instability in the inviscid inflow-outflow problem

Igor Kukavica, Wojciech OÅ¼aÅski, Qi Xu

We consider the 2D incompressible Euler equations on a periodic channel $T \times (0, 1)$ with inflow-outflow boundary condition $u = (0, 1)$ on $T \times {0, 1}$ . W…

math.AP2026

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…

math.AP2026

On the blowup rate of vorticity for the Euler equations in a bounded domain

Benjamin Ingimarson, Igor Kukavica

Given that a solution to the 3D incompressible Euler equations on a bounded domain blows up at a time $T_{*}$ and that $T_{*}$ is the first such time, we provide pointwise-in-tim…

math.AP2026

Lower bounds on the blowup rate of vorticity in the Euler equations

Benjamin Ingimarson, Igor Kukavica

Under the assumption that a solution to the 3D incompressible Euler equations blows up at a time $T_{*}$ and that $T_{*}$ is the first such time, we establish lower bounds on th…

math.AP2026

Stabilization of an incompressible fluid-elastic structure system using a vacuum bubble

B. Ingimarson, I. Kukavica, W. S. OÅ¼aÅski

We prove a priori estimates for the system of partial differential equations modeling the interaction between an elastic body and an incompressible fluid in a 3D curved domain. The…