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 ϵ α 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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     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},
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     publisher = {Elsevier},
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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. http://www.numdam.org/articles/10.1016/j.anihpc.2013.11.002/

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