Direct-Interaction Approximation by the Modal-Interaction Perturbation Technique,

Abstract

An alternate method is presented of obtaining the direct-interaction equations by combining the heuristic and rigorous derivations of Kraichnan. Within the framework of the model dynamic representation of Kraichnan's rigorous theory, the author has developed the irreducible diagram expansion systematically by formalizing the perturbation argument of his heuristic derivation. It is hoped that the present work will provide a further insight into the analytical structure of the irreducible diagram expansion and bridge the gap apparent in the two original derivations of the direct-interaction equations given by Kraichnan. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1971
Accession Number
AD0732199

Entities

People

  • Jon Lee

Organizations

  • Air Force Research Laboratory

Tags

DTIC Thesaurus Topics

  • Equations
  • Mathematical Analysis
  • Mathematics
  • Perturbations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.