On the structure of flows through pipe-like domains satisfying a geometrical constraint

Piotr Bogusław Mucha. "On the structure of flows through pipe-like domains satisfying a geometrical constraint." Applicationes Mathematicae 31.4 (2004): 457-471. <http://eudml.org/doc/279110>.

@article{PiotrBogusławMucha2004,
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.},
author = {Piotr Bogusław Mucha},
journal = {Applicationes Mathematicae},
keywords = {Navier-Stokes equations; friction; inflow-outflow condition; existence; a priori estimates; uniqueness},
language = {eng},
number = {4},
pages = {457-471},
title = {On the structure of flows through pipe-like domains satisfying a geometrical constraint},
url = {http://eudml.org/doc/279110},
volume = {31},
year = {2004},
}

TY - JOUR
AU - Piotr Bogusław Mucha
TI - On the structure of flows through pipe-like domains satisfying a geometrical constraint
JO - Applicationes Mathematicae
PY - 2004
VL - 31
IS - 4
SP - 457
EP - 471
AB - 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.
LA - eng
KW - Navier-Stokes equations; friction; inflow-outflow condition; existence; a priori estimates; uniqueness
UR - http://eudml.org/doc/279110
ER -