4 papers
On regularity estimates for the axially symmetric Navier-Stokes Cauchy problem and the critical-wedge occurrence problem
WiesÅaw J. Grygierzec, Wojciech M. ZajÄ czkowski
We consider the Cauchy problem for the axially symmetric Navier-Stokes equations in R^3. Our aim is to derive estimates for the scaled vorticity components Phi = omega_r/r and Gamm…
On regularity estimates for axially symmetric Navier-Stokes equations in a cylinder and the critical-wedge occurrence problem
WiesÅaw J. Grygierzec, Wojciech M. ZajÄ czkowski
We consider the axisymmetric Navier-Stokes equations in a finite cylinder with slip-type boundary conditions. Our aim is to estimate $X_s(t):=\|Ï_r/r\|_{V(…
A regularity criterion for the angular component of velocity in the norm 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 . We assume that , , vanish on the lateral part of boundary …
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 . We assume that $v_r,…