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The Homogenization Method for the Study of Fluid Flow in Porous Media

  • Horia I. Ene
  • Dan Poliševski
Part of the Theory and Applications of Transport in Porous Media book series (TATP, volume 1)

Abstract

The homogenization method is a mathematical method used for the study of the initial-value and boundary-value problems in domains with a periodic structure. If the dimensions of a period are small compared to the size of the whole domain, it is natural to define a small parameter ε as the ratio between those dimensions. The study of the initial-value and boundary-value problems is associated with this small parameter. The asymptotic process ε → 0 represents the transition from microscopic to macroscopic phenomena.

Keywords

Porous Medium Natural Convection Rayleigh Number Sobolev Inequality Free Fluid 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© D. Reidel Publishing Company, Dordrecht, Holland 1987

Authors and Affiliations

  • Horia I. Ene
    • 1
  • Dan Poliševski
    • 1
  1. 1.Dept. of MathematicsThe National Institute for Scientific and Technical CreationBucharestRomania

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