24 citations · 90 across the 33 of their papers we have counts for
5 papers · 1 filter
Instantaneous gap loss of Sobolev regularity for the 2D incompressible Euler equations
Diego Córdoba, Luis Martínez-Zoroa, Wojciech Ożański
We construct solutions of the 2D incompressible Euler equations in $\mathds{R}^2\times [0,\infty)$ such that initially the velocity is in the super-critical Sobolev space for…
Quantitative control of solutions to the axisymmetric Navier-Stokes equations in terms of the weak norm
W. S. Ożański, S. Palasek
We are concerned with strong axisymmetric solutions to the D incompressible Navier-Stokes equations. We show that if the weak norm of a strong solution on the time int…
On a model of an elastic body fully immersed in a viscous incompressible fluid with small data
Igor Kukavica, Wojciech S. Ożański
We consider a model of an elastic body immersed between two layers of incompressible viscous fluid. The elastic displacement is governed by the damped wave equation $w_{tt} + α…
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…
Global-in-time stability of ground states of a pressureless hydrodynamic model of collective behaviour
P. B. Mucha, W. S. Ożański
We consider a pressureless hydrodynamic model of collective behaviour, which is concerned with a density function and a velocity field on the torus, and is described by the…