Formation of Singularities for a Conservation Law with Damping.

Abstract

The equations of gas dynamics in a tube with varying cross section are an example of a nonhomogeneous system of conservation laws. In this work we study the Riemann problem for this system by viewing it as a perturbation of the classical equations of gas dynamics in a uniform tube. We also study the Riemann problem and the formation of singularities for a related, but simpler, problem of a nonhomogeneous Berger'S equation. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1981
Accession Number
ADA114515

Entities

People

  • Reza Malek-madani
  • Shao-shiung Lin

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Cauchy Problem
  • Differential Equations
  • Equations
  • Gas Dynamics
  • Mathematics
  • Models
  • North Carolina
  • Numbers
  • Partial Differential Equations
  • Perturbations
  • Step Functions
  • Theorems
  • Two Dimensional
  • United States
  • Wave Equations
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)