W. Zajkaczkowski

collaborators

3 papers

math.AP2025

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

WiesÅaw J. Grygierzec, Wojciech M. ZajÄ czkowski

We consider the axisymmetric Navier-Stokes equations in a finite cylinder $I^c ◯ \subset R^{3}$ . We assume that $v_{r}$ , $v_{I ¨} $ , $I ¨ _{I ¨} $ vanish on the lateral part of boundary $\partial I^c ◯$ …

math.AP2025

Weak solutions to incompressible heat-conducting motions with large flux

Joanna RencÅawowicz, Wojciech M. ZajÄ czkowski

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

WiesÅaw J. Grygierzec, Wojciech M. ZajÄ czkowski

The axially-symmetric solutions to the Navier-Stokes equations coupled with the heat conduction are considered. in a bounded cylinder $I^c ◯ \subset R^{3}$ . We assume that $v_r,…

A regularity criterion for the angular component of velocity in the norm L∞​(0,T;Lp​(I^c◯)),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 $L_{\infty} (0, T; L_{p} (I^c ◯)), \frac{3}{p} < 1$ in axisymmetric Navier Stokes equations in a cylinder