Permeability through a perforated domain for the incompressible 2D Euler equations
Annales de l'I.H.P. Analyse non linéaire, Tome 32 (2015) no. 1, pp. 159-182
We investigate the influence of a perforated domain on the 2D Euler equations. Small inclusions of size ε are uniformly distributed on the unit segment or a rectangle, and the fluid fills the exterior. These inclusions are at least separated by a distance and we prove that for α small enough (namely, less than 2 in the case of the segment, and less than 1 in the case of the square), the limit behavior of the ideal fluid does not feel the effect of the perforated domain at leading order when .
@article{AIHPC_2015__32_1_159_0,
author = {Bonnaillie-No\"el, V. and Lacave, C. and Masmoudi, N.},
title = {Permeability through a perforated domain for the incompressible {2D} {Euler} equations},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {159--182},
year = {2015},
publisher = {Elsevier},
volume = {32},
number = {1},
doi = {10.1016/j.anihpc.2013.11.002},
mrnumber = {3303945},
zbl = {1318.35070},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2013.11.002/}
}
TY - JOUR AU - Bonnaillie-Noël, V. AU - Lacave, C. AU - Masmoudi, N. TI - Permeability through a perforated domain for the incompressible 2D Euler equations JO - Annales de l'I.H.P. Analyse non linéaire PY - 2015 SP - 159 EP - 182 VL - 32 IS - 1 PB - Elsevier UR - http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2013.11.002/ DO - 10.1016/j.anihpc.2013.11.002 LA - en ID - AIHPC_2015__32_1_159_0 ER -
%0 Journal Article %A Bonnaillie-Noël, V. %A Lacave, C. %A Masmoudi, N. %T Permeability through a perforated domain for the incompressible 2D Euler equations %J Annales de l'I.H.P. Analyse non linéaire %D 2015 %P 159-182 %V 32 %N 1 %I Elsevier %U http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2013.11.002/ %R 10.1016/j.anihpc.2013.11.002 %G en %F AIHPC_2015__32_1_159_0
Bonnaillie-Noël, V.; Lacave, C.; Masmoudi, N. Permeability through a perforated domain for the incompressible 2D Euler equations. Annales de l'I.H.P. Analyse non linéaire, Tome 32 (2015) no. 1, pp. 159-182. doi: 10.1016/j.anihpc.2013.11.002
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