Permeability through a perforated domain for the incompressible 2D Euler equations
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 (nam...
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Published in | Annales de l'Institut Henri Poincaré. Analyse non linéaire Vol. 32; no. 1; pp. 159 - 182 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Elsevier Masson SAS
01.01.2015
EMS |
Subjects | |
Online Access | Get full text |
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Summary: | 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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ISSN: | 0294-1449 1873-1430 |
DOI: | 10.1016/j.anihpc.2013.11.002 |