1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.AP2025
Uniqueness problem for Prandtl spirals
Tomasz Cieślak, Piotr Kokocki, Przemysław Kosewski
In this paper, we study the problem of uniqueness of a divergence-free velocity field with vorticity given by the Prandtl spiral. We show that if the class of admissible velocities…
math.AP2022★ 1 cited
Existence of nonsymmetric logarithmic spiral vortex sheet solutions to the 2D Euler equations
T. Cieślak, P. Kokocki, W. S. Ożański
We consider solutions of the 2D incompressible Euler equation in the form of cocentric logarithmic spirals. We prove the existence of a generic family of spirals that are…
math.DS2014
Invariant sets and connecting orbits for nonlinear evolution equations at resonance
Piotr Kokocki
We study the problem of existence of orbits connecting stationary points for the nonlinear heat and strongly damped wave equations being at resonance at infinity. The main difficul…