On the structure of flows through pipe-like domains satisfying a geometrical constraint
Volume 31 / 2004
Applicationes Mathematicae 31 (2004), 457-471
MSC: 35Q30, 75D05.
DOI: 10.4064/am31-4-7
Abstract
We study solutions of the steady Navier–Stokes equations in a bounded 2D domain with the slip boundary conditions admitting flow across the boundary. We show conditions guaranteeing uniqueness of the solution. Next, we examine the structure of the solution considering an approximation given by a natural linearization. Suitable error estimates are also obtained.
