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The scalar Oseen operator − Δ + ∂/2202x 1 in ℝ2

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Abstract

This paper solves the scalar Oseen equation, a linearized form of the Navier-Stokes equation. Because the fundamental solution has anisotropic properties, the problem is set in a Sobolev space with isotropic and anisotropic weights. We establish some existence results and regularities in L p theory.

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Authors and Affiliations

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

    Chérif Amrouche

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

    Hamid Bouzit

Authors
  1. Chérif Amrouche
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  2. Hamid Bouzit
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Correspondence to Chérif Amrouche.

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Amrouche, C., Bouzit, H. The scalar Oseen operator − Δ + ∂/2202x 1 in ℝ2 . Appl Math 53, 41–80 (2008). https://doi.org/10.1007/s10492-008-0012-2

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  • DOI: https://doi.org/10.1007/s10492-008-0012-2

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