28 citations · 41 across the 23 of their papers we have counts for
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On regularity estimates for the axially symmetric Navier-Stokes Cauchy problem and the critical-wedge occurrence problem
Wiesław J. Grygierzec, Wojciech M. Zajączkowski
We consider the Cauchy problem for the axially symmetric Navier-Stokes equations in R^3. Our aim is to derive estimates for the scaled vorticity components Phi = omega_r/r and Gamm…
On regularity estimates for axially symmetric Navier-Stokes equations in a cylinder and the critical-wedge occurrence problem
Wiesław J. Grygierzec, Wojciech M. Zajączkowski
We consider the axisymmetric Navier-Stokes equations in a finite cylinder with slip-type boundary conditions. Our aim is to estimate $X_s(t):=\|ω_r/r\|_{V(Ω^…
Global regular axially-symmetric solutions to the Navier-Stokes equations. Part 1
Wojciech M. Zajaczkowski
We prove existence of global regular axially-symmetric solutions to the Navier-Stokes equations in a cylindrical domain. We assume the periodic boundary conditions on the top and t…
Global regular axially-symmetric solutions to the Navier-Stokes equations with small swirl
Bernard Nowakowski, Wojciech M. Zajączkowski
Axially symmetric solutions to the Navier-Stokes equations in a bounded cylinder are considered. On the boundary the normal component of the velocity and he angular components of t…
On the Stokes system in cylindrical domains
Joanna Rencławowicz, Wojciech M. Zajączkowski
The existence of solutions to some initial-boundary value problem for the Stokes system is proved. The result is shown in Sobolev-Slobodetskii spaces such that the velocity belongs…
On regular periodic solutions to the Navier-Stokes equations
Wojciech M. Zajaczkowski
We find a global a priori estimate for solutions to the Navier-Stokes equations with periodic boundary conditions guaranteeing in view of the Serrin type condition the existence of…