# Accession Number:

## AD0269817

# Title:

## ON THE FUNDAMENTAL EQUATIONS OF THE KINETIC THEORY OF GASES,

# Descriptive Note:

# Corporate Author:

## AEROSPACE CORP EL SEGUNDO CALIF

# Personal Author(s):

# Report Date:

## 1961-10-23

# Pagination or Media Count:

## 24.0

# Abstract:

The truncation procedure of Grad is used to reduce the Liouville equation to a modified BBGKY kinetic hierarchy of integro-differential equations. By means of the usual dilute gas assumptions i. e., the negligibility of the total molecular volume with respect to the entire gas volume, the predominance of short-range, binary collisions, and the slowness of the macroscopic spatial variations over molecular dimensions, this system transforms to a new kinetic hierarchy, whose members each resemble the Maxwell-Boltzmann equation of transport theory irreversibility and closure are achieved via the introduction of a molecular chaos assumption. The Boltzmann-like character of the new system of equations is expected to lend itself readily to analysis by direct extensions of existing Boltzmann solution techniques. Author