W. Zajkaczkowski

collaborators

3 papers

math.AP2025

A regularity criterion for the angular component of velocity in the norm $L_{\infty} (0, T; L_{p} (Ω)), \frac{3}{p} < 1$ 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 $Ω \subset R^{3}$ . We assume that $v_{r}$ , $v_{φ}$ , $ω_{φ}$ vanish on the lateral part of boundary $\partial Ω$ of t…

math.AP2025

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…

math.AP2025

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 $Ω \subset R^{3}$ . We assume that $v_r,…

A regularity criterion for the angular component of velocity in the norm L∞​(0,T;Lp​(Ω)),p3​<1 in axisymmetric Navier Stokes equations in a cylinder

Weak solutions to incompressible heat-conducting motions with large flux

The global estimate for regular axially-symmetric solutions to the Navier Stokes equations coupled with the heat conduction

A regularity criterion for the angular component of velocity in the norm $L_{\infty} (0, T; L_{p} (Ω)), \frac{3}{p} < 1$ in axisymmetric Navier Stokes equations in a cylinder