The paper examines the steady Navier-Stokes equations in a three-dimensional infinite pipe with mixed boundary conditions (Dirichlet and slip boundary conditions). The velocity of the fluid is assumed to be constant at infinity. The main results show the existence of weak solutions with no restriction on smallness of the flux vector and boundary conditions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm104-1-3,
author = {Pawe\l\ Konieczny},
title = {On a steady flow in a three-dimensional infinite pipe},
journal = {Colloquium Mathematicae},
volume = {106},
year = {2006},
pages = {33-56},
zbl = {1089.35043},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm104-1-3}
}
Paweł Konieczny. On a steady flow in a three-dimensional infinite pipe. Colloquium Mathematicae, Tome 106 (2006) pp. 33-56. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm104-1-3/