31 citations · 34 across the 7 of their papers we have counts for
7 papers
Global regular axially-symmetric solutions to the Navier-Stokes equations with small swirl
Bernard Nowakowski, Wojciech M. Zajączkowski
Axially symmetric solutions to the Navier-Stokes equations in a bounded cylinder are considered. On the boundary the normal component of the velocity and he angular components of t…
On weighted estimates for the stream function of axially symmetric solutions to the Navier-Stokes equations in a bounded cylinder
Bernard Nowakowski, Wojciech Zajączkowski
Higher-order estimates in weighted Sobolev spaces for solutions to a singular elliptic equation for the stream function in an axially symmetric cylinder are provided. These estimat…
Regularity criteria of weak solutions to NSE in some bounded domains involving the pressure
Adam Kubica, Bernard Nowakowski, Wojciech ZajcAczkowski
We present a short and elegant proof of an estimate for the pressure in terms of the velocity and external data in bounded domains under the slip and Navier boundary conditions. We…
Long-time behavior of micropolar fluid equations in cylindrical domains
B. Nowakowski
In this paper we investigate the existence of -uniform attractor and long-time behavior of solutions to non-autonomous micropolar fluid equations in three dimensional cylindri…
Global existence of strong solutions to micropolar equations in cylindrical domains
B. Nowakowski
The micropolar equations are a useful generalization of the classical Navier-Stokes model for fluids with micro-structure. We prove the existence of global and strong solutions to…
Large time existence of strong solutions to micropolar equations in cylindrical domains
B. Nowakowski
We examine the so-called micropolar equations in three dimensional cylindrical domains under Navier boundary conditions. These equations form a generalization of the ordinary incom…
Very weak solutions to the boundary-value problem of the homogenous heat equation
B. Nowakowski, W. Zajączkowski
We consider the homogeneous heat equation in a domain in with vanishing initial data and the Dirichlet boundary condition. We are looking for solutions in $W^{r,…