An Inhomogeneous Quasilinear Hyperbolic System.

Abstract

We consider quasilinear hyperbolic partial differential equations modeling ideal gas flow under various physical effects. When these effects are represented as Lipschitz continuous functions of the states, solutions to the initial value problem are shown to exist globally in time. Our analysis is based on the random choice method which generalizes the Glimm scheme for hyperbolic conservation laws. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1980
Accession Number
ADA096654

Entities

People

  • Ching-Hua Wang

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Continents
  • Difference Equations
  • Equations
  • Gas Flow
  • Geographic Regions
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • North Carolina
  • Rarefaction
  • Sequences
  • Shock
  • Shock Waves
  • United States
  • Waves
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)