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Global Weak Solutions to a Generic Two-Fluid Model

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Abstract

This paper deals with mathematical properties of a generic two-fluid flow model commonly used in industrial applications. More precisely, we address the question of whether available mathematical results in the case of a single-fluid governed by the compressible barotropic Navier–Stokes equations may be extended to such a two-phase model. We focus on existence of global weak solutions, linear theory and determination of eigenvalues and invariant regions.

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Authors and Affiliations

  1. LAMA, UMR5127 CNRS, 73000, Le Bourget du Lac Cedex, France

    D. Bresch

  2. ENS Ulm, D.M.A., 45 rue d’Ulm, 75230, Paris Cedex 05, France

    B. Desjardins

  3. Modélisation Mesures et Applications S.A., 66 avenue des Champs Elysées, 75008, Paris, France

    B. Desjardins

  4. CMLA UMR8536 and LRC MESO, ENS Cachan, CNRS and CEA DAM, UniverSud, 61 avenue du Président Wilson, 94235, Cachan Cedex, France

    J. -M. Ghidaglia

  5. Unité de Mathématiques Pures et Appliquées, ENS de Lyon, 46, allée d’Italie, 69364, Lyon Cedex 07, France

    E. Grenier

Authors
  1. D. Bresch
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  2. B. Desjardins
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  3. J. -M. Ghidaglia
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  4. E. Grenier
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Corresponding author

Correspondence to D. Bresch.

Additional information

Communicated by Y. Brenier

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Bresch, D., Desjardins, B., Ghidaglia, J.M. et al. Global Weak Solutions to a Generic Two-Fluid Model. Arch Rational Mech Anal 196, 599–629 (2010). https://doi.org/10.1007/s00205-009-0261-6

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  • DOI: https://doi.org/10.1007/s00205-009-0261-6

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