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Article Dans Une Revue Annales de l'Institut Henri Poincaré C, Analyse non linéaire Année : 2015

Permeability through a perforated domain for the incompressible 2D Euler equations

Résumé

We investigate the influence of a perforated domain on the 2D Euler equations. Small inclusions of size $\varepsilon$ 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 $\varepsilon^\alpha$ and we prove that for $\alpha$ 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 $\varepsilon\to 0$.

Dates et versions

hal-00835060 , version 1 (18-06-2013)

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Citer

Virginie Bonnaillie-Noël, Christophe Lacave, Nader Masmoudi. Permeability through a perforated domain for the incompressible 2D Euler equations. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2015, 32 (1), pp.159-182. ⟨10.1016/j.anihpc.2013.11.002⟩. ⟨hal-00835060⟩
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