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Asymptotic analysis of random boundary layers between two incompressible viscous fluid flows

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Abstract

The asymptotic analysis of boundary layers of random thinness and of higher Reynolds number separating two interacting incompressible viscous fluid flows is described using Γ-convergence methods. An asymptotic interfacial contact law is derived, which involves the jumps of the velocity and of the pressures of the fluids through an ergodic coefficient.

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Authors and Affiliations

  1. Laboratoire de Gestion des Risques et Environnement, University of Mulhouse, 68093, Mulhouse, France

    Alain Brillard

  2. Laboratoire Mathématiques et Applications, FST Tangier, Université Abdelmalek Essaâdi, Ancienne Route de l’Aéroport, Km 10, Ziaten., BP 416., Tangier, Morroco

    Mustapha El Jarroudi

Authors
  1. Alain Brillard
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  2. Mustapha El Jarroudi
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Correspondence to Alain Brillard.

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Brillard, A., El Jarroudi, M. Asymptotic analysis of random boundary layers between two incompressible viscous fluid flows. Z. Angew. Math. Phys. 66, 3357–3376 (2015). https://doi.org/10.1007/s00033-015-0589-8

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  • DOI: https://doi.org/10.1007/s00033-015-0589-8

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