Fluides autour d'obstacles minces

Abstract : We study in this work the influence of a thin obstacle on the behavior of incompressible flow. We extend the works made by Itimie, Lopes Filho, Nussenzveig Lopes and Kelliher where they consider that the obstacle shrink to a point. We begin by working in two-dimension, and thanks to complex analysis we treat the case of ideal and viscous flow around a curve. Next, we study three-dimensional viscous flow in the exterior of a surface. We finish by giving uniqueness of the vortex-wave system with a single point vortex introduced by Marchioro and Pulvirenti, in the case where the initial vorticity is constant near the point vortex.
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Mathematics [math]. Université Claude Bernard - Lyon I, 2008. French


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Contributor : Christophe Lacave <>
Submitted on : Tuesday, December 9, 2008 - 3:46:19 PM
Last modification on : Wednesday, December 10, 2008 - 2:34:00 PM

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Christophe Lacave. Fluides autour d'obstacles minces. Mathematics [math]. Université Claude Bernard - Lyon I, 2008. French. <tel-00345665>

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