An Energetic Approach to Homogenization Problems with Rapidly Oscillating Potentials

Abstract

It is shown that many, a priori distinct, problems of homogenization including the case of rapidly oscillating potentials can be studied, and the limit problem computed, in a unified way, through general compactness and convergence results for sequences of functionals of calculus of variations. The convergence notion is taken in variational sense, more precisely by the notion of Tau-convergence introduced by De-Giorgi.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1979
Accession Number
ADA077134

Entities

People

  • Hedy Attouch

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms
  • Autonomy
  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Calculus
  • Calculus Of Variations
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Euler Equations
  • Integrals
  • Mathematics
  • North Carolina
  • Partial Differential Equations
  • Periodic Functions
  • Sequences
  • Theorems
  • United States
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Mechanics and Fluid Dynamics.
  • Mathematical Modeling and Probability Theory.