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Théorie L^p avec poids pour les équations d'Oseen dans des domaines non bornés

Abstract : This thesis is devoted to the study of the Oseen equations in unbounded domains. The Oseen model is a linearized version of the Navier-Stokes equations describing the flow of a viscous and incompressible fluid past a bounded body. To describe the behavior at infinity of solutions and to take into account the paraboloidal region, the so-called wake, which appears behind the body during the flow, we choose to set the problem in a functional framework which uses anisotropic weights. In a first step, we prove density results and Hardy inequalities. In a second step, we prove existence, uniqueness and regularity of solutions. The results are first established in the whole space, then in an exterior domain.
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Contributor : Ulrich Jerry Razafison Connect in order to contact the contributor
Submitted on : Monday, August 30, 2004 - 11:50:06 PM
Last modification on : Thursday, February 10, 2022 - 3:34:50 AM
Long-term archiving on: : Wednesday, September 12, 2012 - 5:40:18 PM


  • HAL Id : tel-00006775, version 1



Ulrich Jerry Razafison. Théorie L^p avec poids pour les équations d'Oseen dans des domaines non bornés. Mathématiques [math]. Université de Pau et des Pays de l'Adour, 2004. Français. ⟨tel-00006775⟩



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