SOME GENERAL PROPERTIES OF A CLASS OF SEMILINEAR HYPERBOLIC SYSTEMS ANALOGOUS TO THE DIFFERENTIAL-INTEGRAL EQUATIONS OF GAS DYNAMICS.

Abstract

The paper discusses the general structure of a class of semilinear hyperbolic systems analogous to the Boltzmann equations for a gas model with discretized velocity states, using a background of nonequilibrium theory for gas dynamics. The global existence of (nonnegative) solutions associated with nonnegative initial data is developed. Some auxiliary results on a linear conjugacy of systems and on monotonicity and smoothness properties of general (local) solutions are given.

Document Details

Document Type
Technical Report
Publication Date
Feb 25, 1970
Accession Number
AD0705999

Entities

People

  • Howard E. Conner

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Dynamics
  • Equations
  • Gas Dynamics
  • Integral Equations
  • Integrals
  • Mathematics
  • Physics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Combustion science or combustion engineering.
  • Linear Algebra