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Networks and Heterogeneous Media

2009, Volume 4, Issue 4: 649-666. doi: 10.3934/nhm.2009.4.649
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Homogenization of a model of displacement with unbounded viscosity

  • 1.
    Université P. Cézanne, LATP, CNRS UMR 6632, FST, Case Cour A, 13397 Marseille Cedex 20
  • 2.
    Université de Toulon et du Var, Département de mathématiques, BP 20132, 83957 La Garde
  • Received: 01 March 2008 Revised: 01 April 2009

  • Primary: 76M50, 35K65; Secondary: 76S05, 35K55.

  • We discuss the homogenization of a model problem describing the transport of heat and mass by a compressible miscible flow in a highly heterogeneous porous medium. The flow is governed by a nonlinear system of degenerate parabolic type coupling the pressure and the temperature. Using the technique of two-scale convergence and compensated compactness arguments, we prove some stability in the homogenization process.

    Citation: Catherine Choquet, Ali Sili. Homogenization of a model of displacement with unbounded viscosity[J]. Networks and Heterogeneous Media, 2009, 4(4): 649-666. doi: 10.3934/nhm.2009.4.649

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  • We discuss the homogenization of a model problem describing the transport of heat and mass by a compressible miscible flow in a highly heterogeneous porous medium. The flow is governed by a nonlinear system of degenerate parabolic type coupling the pressure and the temperature. Using the technique of two-scale convergence and compensated compactness arguments, we prove some stability in the homogenization process.


  • This article has been cited by:

    1. ANTOINE GLORIA, THIERRY GOUDON, STELLA KRELL, NUMERICAL HOMOGENIZATION OF A NONLINEARLY COUPLED ELLIPTIC–PARABOLIC SYSTEM, REDUCED BASIS METHOD, AND APPLICATION TO NUCLEAR WASTE STORAGE, 2013, 23, 0218-2025, 2523, 10.1142/S0218202513500395
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  • © 2009 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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