2 citations · 2 across the 6 of their papers we have counts for
6 papers
A regularity criterion for the angular component of velocity in the norm in axisymmetric Navier Stokes equations in a cylinder
Wiesław J. Grygierzec, Wojciech M. Zajączkowski
We consider the axisymmetric Navier-Stokes equations in a finite cylinder . We assume that , , vanish on the lateral part of boundary of t…
Weak solutions to incompressible heat-conducting motions with large flux
Joanna Rencławowicz, Wojciech M. Zajączkowski
We analyze the problem for viscous incompressible heat-conduc\-ting fluid in a finite cylinder with large inflow and outflow, modelled with Navier-Stokes equations coupled with the…
The global estimate for regular axially-symmetric solutions to the Navier Stokes equations coupled with the heat conduction
Wiesław J. Grygierzec, Wojciech M. Zajączkowski
The axially-symmetric solutions to the Navier-Stokes equations coupled with the heat conduction are considered. in a bounded cylinder . We assume that $v_r,…
Global motions for nonhomogeneous Navier-Stokes equations with large flux
Joanna Rencławowicz, Wojciech M. Zajączkowski
The nonhomogeneous Navier-Stokes equations are considered in a cylindrical domain in , parallel to the -axis with large inflow and outflow on the top and the bo…
Stability of two-dimensional Navier-Stokes motions in the periodic case
Wojciech Zajączkowski, Ewa Zadrzyńska
We consider the motion described by the Navier-Stokes equations in a box with periodic boundary conditions. First we prove the existence of global strong two-dimensional solutions.…
Strong solutions to the Navier-Stokes equations on thin 3D domains
B. Nowakowski, W. Zajączkowski
We prove the existence of strong solutions to Navier-Stokes equations in three dimensional thin domains. Our proof is based on the energy and the Poincaré inequalities as well as c…