Asymptotic behavior of a steady flow in a two-dimensional pipe

Piotr Bogusław Mucha. "Asymptotic behavior of a steady flow in a two-dimensional pipe." Studia Mathematica 158.1 (2003): 39-58. <http://eudml.org/doc/285138>.

@article{PiotrBogusławMucha2003,
abstract = {The paper investigates the asymptotic behavior of a steady flow of an incompressible viscous fluid in a two-dimensional infinite pipe with slip boundary conditions and large flux. The convergence of the solutions to data at infinities is examined. The technique enables computing optimal factors of exponential decay at the outlet and inlet of the pipe which are unsymmetric for nonzero fluxes of the flow. As a corollary, the asymptotic structure of the solutions is obtained. The results show strong dependence on the magnitude of the Reynolds number.},
author = {Piotr Bogusław Mucha},
journal = {Studia Mathematica},
keywords = {Navier-Stokes equations; slip boundary conditions; pipe-like domains; spatial asymptotics; qualitative analysis},
language = {eng},
number = {1},
pages = {39-58},
title = {Asymptotic behavior of a steady flow in a two-dimensional pipe},
url = {http://eudml.org/doc/285138},
volume = {158},
year = {2003},
}

TY - JOUR
AU - Piotr Bogusław Mucha
TI - Asymptotic behavior of a steady flow in a two-dimensional pipe
JO - Studia Mathematica
PY - 2003
VL - 158
IS - 1
SP - 39
EP - 58
AB - The paper investigates the asymptotic behavior of a steady flow of an incompressible viscous fluid in a two-dimensional infinite pipe with slip boundary conditions and large flux. The convergence of the solutions to data at infinities is examined. The technique enables computing optimal factors of exponential decay at the outlet and inlet of the pipe which are unsymmetric for nonzero fluxes of the flow. As a corollary, the asymptotic structure of the solutions is obtained. The results show strong dependence on the magnitude of the Reynolds number.
LA - eng
KW - Navier-Stokes equations; slip boundary conditions; pipe-like domains; spatial asymptotics; qualitative analysis
UR - http://eudml.org/doc/285138
ER -