Accession Number : AD0705999

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

Descriptive Note : Final rept.,

Corporate Author : NAVAL RESEARCH LAB WASHINGTON D C MATHEMATICS RESEARCH CENTER

Personal Author(s) : Conner,Howard E.

Report Date : 25 FEB 1970

Pagination or Media Count : 16

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.

Descriptors :   (*KINETIC THEORY, GASES), (*STATISTICAL MECHANICS, *PARTIAL DIFFERENTIAL EQUATIONS), MATRICES(MATHEMATICS), BANACH SPACE, THEOREMS

Subject Categories : Physical Chemistry
      Theoretical Mathematics
      Fluid Mechanics
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE