TY - JOUR
T1 - Permeability through a perforated domain for the incompressible 2D Euler equations
AU - Bonnaillie-Noël, V.
AU - Lacave, C.
AU - Masmoudi, N.
N1 - Publisher Copyright:
© 2013 Elsevier Masson SAS. All rights reserved.
PY - 2015/1/1
Y1 - 2015/1/1
N2 - 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 εα 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 ε → 0.
AB - 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 εα 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 ε → 0.
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U2 - 10.1016/j.anihpc.2013.11.002
DO - 10.1016/j.anihpc.2013.11.002
M3 - Article
AN - SCOPUS:84923181332
SN - 0294-1449
VL - 32
SP - 159
EP - 182
JO - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
JF - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
IS - 1
ER -