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Boundary Behavior of Viscous Fluids: Influence of Wall Roughness and Friction-driven Boundary Conditions

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Abstract

We consider a family of solutions to the evolutionary Navier–Stokes system supplemented with the complete slip boundary conditions on domains with rough boundaries. We give a complete description of the asymptotic limit by means of Γ-convergence arguments, and identify a general class of boundary conditions.

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Authors and Affiliations

  1. Laboratoire de Mathématiques, CNRS UMR 5127, Université de Savoie, Campus Scientifique, 73376, Le-Bourget-Du-Lac, France

    Dorin Bucur

  2. Mathematical Institute of the Academy of Sciences of the Czech Republic, Zitná 25, 115 67, Praha 1, Czech Republic

    Eduard Feireisl & Šárka Nečasová

Authors
  1. Dorin Bucur
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  2. Eduard Feireisl
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  3. Šárka Nečasová
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Correspondence to Dorin Bucur.

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Communicated by G. Dal Maso

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Bucur, D., Feireisl, E. & Nečasová, Š. Boundary Behavior of Viscous Fluids: Influence of Wall Roughness and Friction-driven Boundary Conditions. Arch Rational Mech Anal 197, 117–138 (2010). https://doi.org/10.1007/s00205-009-0268-z

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  • DOI: https://doi.org/10.1007/s00205-009-0268-z

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