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On the three-dimensional stationary exterior Stokes problem with Non Standard Boundary Conditions

Abstract : We study the three-dimensional stationary exterior Stokes problem with non standard boundary conditions corresponding to a slip-without-friction boundary conditions. Because the flow domain is unbounded , we set the problem in weighted spaces in order to control the behavior at infinity of solutions. This functional framework allows to prescribe various behaviors at infinity of the solutions. The results established are related to the existence and the uniqueness of strong and very weak solutions. Our strategy relies on the fact that due to the boundary conditions, the pressure and the velocity can be decoupled and, as a result, we solve two separate systems to find these quantities.
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Contributor : Ulrich Razafison Connect in order to contact the contributor
Submitted on : Friday, July 31, 2020 - 8:22:14 PM
Last modification on : Thursday, January 13, 2022 - 12:00:03 PM

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Héla Louati, Mohamed Meslameni, Ulrich Razafison. On the three-dimensional stationary exterior Stokes problem with Non Standard Boundary Conditions. Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Wiley-VCH Verlag, 2020, 100 (6), ⟨10.1002/zamm.201900181⟩. ⟨hal-02174108v2⟩

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