On a steady flow in a three-dimensional infinite pipe
Volume 104 / 2006
Colloquium Mathematicum 104 (2006), 33-56
MSC: 35Q30, 76D05, 76D03.
DOI: 10.4064/cm104-1-3
Abstract
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.
