On a Hyperbolic System of Conservation Laws Which Is Not Strictly Hyperbolic.

Abstract

We study a system of quasilinear hyperbolic conservation laws which is hyperbolic but not strictly hyperbolic. Such systems arise naturally in continuum mechanics such as elastic, multiphase flows. We are interested mainly in the large time behavior of the solution. Due to the nonlinearity of the system and the entropy condition, solutions converge to very simple elementary waves. Nonstrict hyperbolicity of the system amy cause a stronger nonlinear interactions between waves pertaining to different families; in particular, such interactions may regularize linear waves in the solution. The solutions are constructed using the random choice method. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1981
Accession Number
ADA099346

Entities

People

  • Ching-Hua Wang
  • Tai-ping Liu

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Cauchy Problem
  • Continuum Mechanics
  • Contracts
  • Differential Equations
  • Electrical Solitons
  • Equations
  • Mathematics
  • Mechanics
  • New York
  • North Carolina
  • Shock Waves
  • Step Functions
  • Traveling Waves
  • United States
  • Universities
  • Waves
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics / Magnetohydrodynamics