Homogenization and Renormalization of Multiple-Scattering Expansions for Green Functions in Turbulent Transport

  • Marco Avellaneda
  • Andrew J. Majda
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 5)


The purpose of this article is to report on a method for averaging equations with rapidly varying characteristics, based on the asymptotic analysis of the perturbation expansions for the corresponding Green functions. While such methodology is relevant to many problems in homogenization, we shall discuss it primarily in the context of advection-diffusion equations describing passive turbulence transport.


Green Function Perturbation Parameter Turbulent Transport Fourier Multiplier Simple Shear Flow 
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Copyright information

© Birkhäuser Boston 1991

Authors and Affiliations

  • Marco Avellaneda
    • 1
  • Andrew J. Majda
    • 2
  1. 1.Courant InstituteNew York UniversityNew YorkUSA
  2. 2.Program for Computational and Applied Mathematics Department of MathematicsPrinceton UniversityPrincetonUSA

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