Nonstrictly Hyperbolic Conservation Laws

Abstract

This project has centered on formulating and solving mathematical problems that arise in the study of systems of conservation laws that are not of the classical, strictly hyperbolic type. Potential applications for these results are found in models for three-phases flow in porous media, for compressible two-phase flow, and for flow in elastic and elastoplastic materials (including continuum models for granular flow). Modelling of many different flow processes has led to systems of conservation laws in which the classical assumptions breakdown in a way which leads to distrust of the models. Research in this and allied projects is directed at extending the mathematical theory of conservation laws. The practical goal of this research is to discover which models are well-posed, and, hence, to enable applied scientists to discover which are correct descriptions of various observed instabilities.

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Document Details

Document Type
Technical Report
Publication Date
Nov 14, 1989
Accession Number
ADA218525

Entities

People

  • Barbara L. Keyfitz

Organizations

  • University of Houston

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Cauchy Problem
  • Computational Science
  • Eigenvalues
  • Equations
  • Flow
  • Instability
  • Materials
  • Mathematical Models
  • Mechanics
  • Models
  • Scientists
  • Shock
  • Three Phase Flow
  • Two Phase Flow
  • Viscosity
  • Waves

Fields of Study

  • Mathematics

Readers

  • Computational Fluid Dynamics (CFD)
  • Fluid Dynamics.