31 citations · 31 across the 4 of their papers we have counts for
4 papers
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…
Strong solutions to the Navier-Stokes equations on thin 3D domains
B. Nowakowski, W. Zajączkowski
We prove the existence of strong solutions to Navier-Stokes equations in three dimensional thin domains. Our proof is based on the energy and the Poincaré inequalities as well as c…
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,…