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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Mathématiques [math]. Université Claude Bernard - Lyon I, 2008. Français


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Submitted on : Tuesday, December 9, 2008 - 3:46:19 PM
Last modification on : Friday, December 18, 2015 - 1:07:36 AM
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Christophe Lacave. Fluides autour d'obstacles minces. Mathématiques [math]. Université Claude Bernard - Lyon I, 2008. Français. <tel-00345665>

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