Metastability and Compensated Compactness in Continuum Theories.

Abstract

Historically, one of the most important problems in continuum mechanics has been the understanding of hyperbolic conservation laws. This is because such systems arise from the underlying balance laws of mass, momentum, and energy. Their nonlinearity and hyperbolicity arise from the simplest constitutive assumptions, even in an ideal gas. The goal of this workshop was to examine the implications of compensated compactness and dispersion in the analysis and numerical analysis of such equations. The influence of viscosity and fluctuation mechanisms in nature was discussed as well. A second workshop focused on metastability and incompletely posed problems. Keywords: Bibliographies.

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Document Details

Document Type
Technical Report
Publication Date
Jan 23, 1986
Accession Number
ADA164634

Entities

People

  • George R. Sell
  • Hans Weinberger

Organizations

  • University of Minnesota Duluth

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Calculus
  • Calculus Of Variations
  • Computations
  • Continuum Mechanics
  • Difference Equations
  • Differential Equations
  • Energy
  • Equations
  • Formulas (Mathematics)
  • Mathematics
  • Mechanics
  • Navier Stokes Equations
  • Nonlinear Differential Equations
  • Numerical Analysis
  • Partial Differential Equations
  • Phase Transformations
  • Physics

Readers

  • Educational Psychology
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Quantum Chemistry