@article{Pileckas_2007, title={Solvability in weighted spaces of the three-dimensional Navier-Stokes problem in domains with cylindrical outlets to infinity}, volume={29}, url={https://apcz.umk.pl/TMNA/article/view/TMNA.2007.014}, abstractNote={The nonstationary Navier-Stokes problem is studied in a three-dimensional domain with cylindrical outlets to infinity in weighted Sobolev function spaces. The unique solvability of this problem is proved under natural compatibility conditions either for a small time interval or for small data. Moreover, it is shown that the solution having prescribed fluxes over cross-sections of outlets to infinity tends in each outlet to the corresponding time-dependent Poiseuille flow.}, number={2}, journal={Topological Methods in Nonlinear Analysis}, author={Pileckas, Konstantin}, year={2007}, month={Jun.}, pages={333–360} }