3 citations · 8 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
Local solutions for nonhomogeneous Navier-Stokes equations with large flux
Joanna Rencławowicz, Wojciech M. Zajączkowski
The local existence of solutions to nonhomogeneous Navier-Stokes equations in cylindrical domains with arbitrary large flux is demonstrated. The existence is proved by the method o…
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…
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…