24 citations · 90 across the 33 of their papers we have counts for
6 papers · 1 filter
A simple proof of linear instability of shear flows with application to vortex sheets
Anuj Kumar, Wojciech Ożański
We consider the construction of linear instability of parallel shear flows, which was developed by Zhiwu Lin (SIAM J. Math. Anal. 35(2), 2003). We give an alternative simple proof…
An improvement to Prandtl's 1933 model for minimizing induced drag
Wojciech Ożański
We consider Prandtl's 1933 model for calculating circulation distribution function of a finite wing which minimizes induced drag, under the constraints of prescribed total lift…
Linear and nonlinear instability of vortex columns
Dallas Albritton, Wojciech Ożański
We consider vortex column solutions to the D Euler equations. We give a mathematically rigorous construction of the countable family of unstable modes d…
The inviscid inflow-outflow problem via analyticity
Igor Kukavica, Wojciech Ożański, Marco Sammartino
We consider the incompressible Euler equation on an analytic domain with nonhomogeneous boundary condition on ,…
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…
Linear instability of symmetric logarithmic spiral vortex sheets
Tomasz Cieślak, Piotr Kokocki, Wojciech S. Ożański
We consider Alexander spirals with branches, that is symmetric logarithmic spiral vortex sheets. We show that such vortex sheets are linearly unstable in the (…