The Eulerian limit and the slip boundary conditions-admissible irregularity of the boundary

Piotr Bogusław Mucha. "The Eulerian limit and the slip boundary conditions-admissible irregularity of the boundary." Banach Center Publications 70.1 (2005): 169-183. <http://eudml.org/doc/281925>.

@article{PiotrBogusławMucha2005,
abstract = {We investigate the inviscid limit for the stationary Navier-Stokes equations in a two dimensional bounded domain with slip boundary conditions admitting nontrivial inflow across the boundary. We analyze admissible regularity of the boundary necessary to obtain convergence to a solution of the Euler system. The main result says that the boundary of the domain must be at least C²-piecewise smooth with possible interior angles between regular components less than π.},
author = {Piotr Bogusław Mucha},
journal = {Banach Center Publications},
keywords = {Euler system; nonsmooth and singular boundaries; inviscid limit; stationary Navier-Stokes equations},
language = {eng},
number = {1},
pages = {169-183},
title = {The Eulerian limit and the slip boundary conditions-admissible irregularity of the boundary},
url = {http://eudml.org/doc/281925},
volume = {70},
year = {2005},
}

TY - JOUR
AU - Piotr Bogusław Mucha
TI - The Eulerian limit and the slip boundary conditions-admissible irregularity of the boundary
JO - Banach Center Publications
PY - 2005
VL - 70
IS - 1
SP - 169
EP - 183
AB - We investigate the inviscid limit for the stationary Navier-Stokes equations in a two dimensional bounded domain with slip boundary conditions admitting nontrivial inflow across the boundary. We analyze admissible regularity of the boundary necessary to obtain convergence to a solution of the Euler system. The main result says that the boundary of the domain must be at least C²-piecewise smooth with possible interior angles between regular components less than π.
LA - eng
KW - Euler system; nonsmooth and singular boundaries; inviscid limit; stationary Navier-Stokes equations
UR - http://eudml.org/doc/281925
ER -