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Applications of Mathematics

, Volume 52, Issue 5, pp 431–446 | Cite as

Homogenization of some parabolic operators with several time scales

  • Liselott Flodén
  • Marianne Olsson
Article

Abstract

The main focus in this paper is on homogenization of the parabolic problem ∂ t uɛ − ∇ · (a(x/ɛ,t/ɛ,t r )∇u ɛ ) = f. Under certain assumptions on a, there exists a G-limit b, which we characterize by means of multiscale techniques for r > 0, r ≠ 1. Also, an interpretation of asymptotic expansions in the context of two-scale convergence is made.

Keywords

homogenization G-convergence multiscale convergence parabolic asymptotic expansion 

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Copyright information

© Mathematical Institute, Academy of Sciences of Czech Republic 2007

Authors and Affiliations

  • Liselott Flodén
    • 1
  • Marianne Olsson
    • 1
  1. 1.Department of Engineering, Physics and MathematicsMid Sweden UniversityÖstersundSweden

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