81 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Polish Academy of SciencesPL26 papers
- University of WarsawPL21 papers
- Brno University of TechnologyCZ14 papers
- Institute of MathematicsPL12 papers
- Institute of PhysicsPL12 papers
- National Institute of Technology DurgapurIN12 papers
- Warsaw University of TechnologyPL11 papers
- Institute of High Pressure PhysicsPL8 papers
- Jagiellonian UniversityPL7 papers
- Institute of Nuclear Physics, Polish Academy of SciencesPL6 papers
- University of Silesia in KatowicePL6 papers
- Częstochowa University of TechnologyPL5 papers
10 papers · 1 filter
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…
On some regularity criteria for axisymmetric Navier-Stokes equations
Joanna Rencławowicz, Wojciech M. Zajączkowski
We point out some criteria that imply regularity of axisymmetric solutions to Navier-Stokes equations. We show that boundedness of $\|{v_{r}}/{\sqrt{r^3}}\|_{L_2({\rm R}^3\times (0…
Some stability problems to the Navier-Stokes equations in the periodic case
Wojciech M. Zajaczkowski
The Navier-Stokes motions in a box with periodic boundary conditions are considered. First the existence of global regular two-dimensional solutions is proved. The solutions are su…
Stability of two-dimensional solutions to the Navier-Stokes equations in cylindrical domains under Navier-boundary conditions
Wojciech Zajaczkowski
The Navier-Stokes motions in cylindrical domain with Navier boundary conditions are considered. First the existence of global regular two-dimensional solutions are proved. The solu…
Global regular motions for compressible barotropic viscous fluids. Stability
H-O. Bae, Wojciech M. Zajączkowski
We consider viscous compressible barotropic motions in a bounded domain with the Dirichlet boundary conditions for velocity. We assume the existence of some…
Quantitative robustness of regularity for 3D Navier-Stokes system in -spaces
Jan Burczak, Wojciech M. Zajączkowski
We present stability and regularity results for the D incompressible Navier-Stokes system in a periodic box, in spaces, with . A special attent…
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…
Nonstationary flow for the Navier-Stokes equations in a cylindrical pipe
Joanna Renclawowicz, Wojciech M. Zajaczkowski
In cylindrical domain, we consider the nonstationary flow with prescribed inflow and outflow, modelled with Navier-Stokes equations under the slip boundary conditions. Using smalln…
Existence of global weak solutions for Navier-Stokes equations with large flux
Joanna Renclawowicz, Wojciech Zajaczkowski
Global existence of weak solutions to the Navier-Stokes equation in a cylindrical domain under the slip boundary conditions and with inflow and outflow was proved. To prove the ene…