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Homogenization of a Free Boundary Problem: The no-Slip Condition

  • Ben Schweizer
Conference paper

Abstract

We present results on the homogenization of a fluid problem with a free boundary. We make reference to results published in 2000. There we have used a slip-condition along the walls in order to give a rigorous derivation of the limit equations. One expects that the same limit equations hold also for a no-slip condition. This contribution analyzes the specific difficulties that appear in the case of a no-slip condition; we present some results that indicate how homogenization could be proved in this case.

Keywords

Porous Medium Contact Angle Free Boundary Free Boundary Problem Limit Problem 
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References

  1. 1.
    G. Allaire (1992) Homogenization and two-scale convergence. SIAM J. Math. Anal. 23, 1482–1518MathSciNetCrossRefGoogle Scholar
  2. 2.
    B. Schweizer (2000) Homogenization of a fluid problem with a free boundary. Comm. Pure Appl. Math. 53, 1118–1152MathSciNetCrossRefGoogle Scholar
  3. 3.
    B. Schweizer (2000) Uniform estimates in two periodic homogenization problems. Comm. Pure Appl. Math. 53, 1153–1179MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Ben Schweizer
    • 1
  1. 1.Institut für Angewandte MathematikUniversität HeidelbergHeidelbergGermany

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