Exterior Stokes problem in the half-space |
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Authors: | Chérif Amrouche Florian Bonzom |
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Affiliation: | (1) Laboratoire de Mathématiques et de leurs Applications, UMR CNRS 5142, Université de Pau et des Pays de l’Adour, IPRA, Avenue de l’Université, 64000 Pau cedex, France |
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Abstract: | The purpose of this work is to solve the exterior Stokes problem in the half-space . We study the existence and the uniqueness of generalized solutions in weighted L p theory with 1 < p < ∞. Moreover, we consider the case of strong solutions and very weak solutions. This paper extends the studies done in Alliot, Amrouche (Math. Methods Appl. 23:575–600, 2000) for an exterior Stokes problem in the whole space and in Amrouche, Bonzom (Exterior Problems in the Half-space, submitted) for the Laplace equation in the same geometry as here. |
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Keywords: | Weighted Sobolev spaces Stokes operator Dirichlet boundary conditions Exterior problem Half-space |
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