ON THE FUNDAMENTAL EQUATIONS OF THE KINETIC THEORY OF GASES,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 23, 1961
- Accession Number
- AD0269817
Entities
People
- Gerald G. Comisar
Organizations
- The Aerospace Corporation