The Classification of Solutions of Quadratic Riemann Problems. II.

Abstract

This is one step in a program aimed at classifying solutions of the Riemann problem for 2 x 2 system of hyperbolic quadratic conservation laws. This system consists of partial differential equations. Such conservation laws approximate a general 2 x 2 system of conservation laws in a neighborhood of a point at which strict hyperbolicity fails. This document gives the solution for the symmetric systems in Region III of the four region classification of Schaeffer and Shearer. The solution is based on the qualitative shape of the integral curves described by Schaeffer and Shearer and a numerical calculation of the Hugonoit loci with their shock types. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1985
Accession Number
ADA163651

Entities

People

  • B. Temple
  • E. Isaacson

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Cauchy Problem
  • Classification
  • Composite Materials
  • Differential Equations
  • Eigenvalues
  • Equations
  • Formulas (Mathematics)
  • Integrals
  • Mathematics
  • North Carolina
  • Partial Differential Equations
  • Shock
  • Shock Waves
  • United States
  • Universities
  • Waves
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Linear Algebra