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Article Dans Une Revue Communications in Partial Differential Equations Année : 2012

Two Dimensional Incompressible Ideal Flow Around a Small Curve

Résumé

We study the asymptotic behavior of solutions of the two dimensional incompressible Euler equations in the exterior of a curve when the curve shrinks to a point. This work links two previous results: [Iftimie, Lopes Filho and Nussenzveig Lopes, Two Dimensional Incompressible Ideal Flow Around a Small Obstacle, Comm. PDE, 28 (2003), 349-379] and [Lacave, Two Dimensional Incompressible Ideal Flow Around a Thin Obstacle Tending to a Curve, Ann. IHP, Anl, 26 (2009), 1121-1148]. The second goal of this work is to complete the previous article, in defining the way the obstacles shrink to a curve. In particular, we give geometric properties for domain convergences in order that the limit flow be a solution of Euler equations.
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Dates et versions

hal-00562704 , version 1 (03-02-2011)

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Christophe Lacave. Two Dimensional Incompressible Ideal Flow Around a Small Curve. Communications in Partial Differential Equations, 2012, 37 (4), pp.690-731. ⟨10.1080/03605302.2011.596252⟩. ⟨hal-00562704⟩
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