3 papers
math.AP2026
Gevrey instability in the inviscid inflow-outflow problem
Igor Kukavica, Wojciech OżaÅski, Qi Xu
We consider the 2D incompressible Euler equations on a periodic channel with inflow-outflow boundary condition on . 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
Analyticity up to the boundary for the divergence equation
Igor Kukavica, Qi Xu
We address analytic regularity for the divergence equation in , with on , where is an arbitrary bounded analytic domain and $\int_Ω…