SOME GENERAL PROPERTIES OF A CLASS OF SEMILINEAR HYPERBOLIC SYSTEMS ANALOGOUS TO THE DIFFERENTIAL-INTEGRAL EQUATIONS OF GAS DYNAMICS.
NAVAL RESEARCH LAB WASHINGTON D C MATHEMATICS RESEARCH CENTER
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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.
- Physical Chemistry
- Theoretical Mathematics
- Fluid Mechanics