@article{Kaulakyte_2015, title={On Nonhomogeneous Boundary Value Problem for the Steady Navier-Stokes System in Domain with Paraboloidal and Layer Type Outlets to Infinity}, volume={46}, url={https://apcz.umk.pl/TMNA/article/view/TMNA.2015.070}, DOI={10.12775/TMNA.2015.070}, abstractNote={The nonhomogeneous boundary value problem for the steady Navier-Stokes system is studied in a domain $\Omega$ with two layer type and one paraboloidal<br />outlets to infinity. The boundary<br />$\partial\Omega$ is multiply connected and consists of<br />the outer boundary $S$ and the inner boundary $\Gamma$. The boundary value ${a}$ is assumed to have a compact support. The flux of ${a}$ over the inner boundary $\Gamma$<br />is supposed to be sufficiently small. We do not impose any restrictions on fluxes<br />of ${a}$ over the unbounded components of the outer boundary $S$. The<br />existence of at least one weak solution is proved.<br /><br />}, number={2}, journal={Topological Methods in Nonlinear Analysis}, author={Kaulakyte, Kristina}, year={2015}, month={Dec.}, pages={835–866} }