28 citations · 41 across the 23 of their papers we have counts for
5 papers · 2 filters
The Holder continuity of the swirl for the Navier-Stokes motions
Wojciech Zajaczkowski
Applying the DeGiorgi Method the Holder continuity of the swirl is proved for solutions to the Navier-Stokes equations from Lq(0,T;Lp) with 3/p+2/q < 1.
Global regular axially symmetric solutions to the Navier-Stokes equations in a periodic cylinder
Wojciech Zajaczkowski
Global regular axially symmetric solutions with large swirl in a cylinder with periodic conditions on the top and on the bottom are proved. On the lateral part of its boundary the…
A priori estimate for axially symmetric solutions to the Navier-Stokes equations near the axis of symmetry
Wojciech Zajaczkowski
The axially symmetric solutions to the Navier-Stokes equations in a periodic cylinder with boundary slip conditions on the lateral part of its boundary are considered. A priori est…
Remarks on Regularity Criteria for Axially Symmetric Weak Solutions to the Navier-Stokes Equations, II
Adam Kubica
We examine the conditional regularity of the solutions of Navier-Stokes equations in the entire three-dimensional space under the assumption that the data are axially symmetric. We…
Long time existence of regular solutions to non-homogeneous Navier-Stokes equations
Wojciech M. Zajaczkowski
We consider the motion of incompressible viscous non-homogeneous fluid described by the Navier-Stokes equations in a bounded cylinder under boundary slip conditions. Assume that th…