
Accession Number : AD0705999
Title : SOME GENERAL PROPERTIES OF A CLASS OF SEMILINEAR HYPERBOLIC SYSTEMS ANALOGOUS TO THE DIFFERENTIALINTEGRAL 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