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On the Two and Three Dimensional Oseen Potentials

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Abstract

We prove continuity properties for the Oseen potential. As a consequence, we show some new properties on solutions of the Oseen equations. The study relies on weighted Sobolev spaces in order to control the behavior of functions at infinity.

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Authors and Affiliations

  1. Laboratoire de Mathématiques Appliquées, Université de Pau et des Pays de l’Adour, UMR-CNRS 5142, IPRA, Avenue de l’Université, 64000, Pau, France

    Chérif Amrouche & Hamid Bouzit

  2. Département de Mathématiques, Université de Mostaganem, Mostaganem, Algérie

    Hamid Bouzit

  3. Laboratoire de Mathématiques, CNRS UMR 6623, Université de Franche-Comté, 16, route de Gray, 25030, Besançon Cedex, France

    Ulrich Razafison

Authors
  1. Chérif Amrouche
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  2. Hamid Bouzit
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  3. Ulrich Razafison
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Correspondence to Chérif Amrouche.

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Amrouche, C., Bouzit, H. & Razafison, U. On the Two and Three Dimensional Oseen Potentials. Potential Anal 34, 163–179 (2011). https://doi.org/10.1007/s11118-010-9186-9

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  • DOI: https://doi.org/10.1007/s11118-010-9186-9

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