THE INITIAL VALUE PROBLEM, SOUND PROPAGATION, AND MODELING IN KINETIC THEORY
Technical Report
·
OSTI ID:4824193
The one dimensional initial value problem of a monatomic single component was was considered. Using the linearized Boltzmam equation the dispersion relation was studied. In addition to the usual gas dynamic sound waves an infinity of decaying propagating waves was found. The phenomenon naturally exhibited itself as a sequence of epochs, the last stage of which was hydrodynamic. With reference to the same problem macroscopic equations such as Euler, Navier-Stokes, Burnett, Grad's moments equations, etc., were considered. The recently considered "kinetic models" of Gross et al. were also applied to the problem. These various formulations were critically analyzed and compared with each other and with the Boltzmann analysis. Several alternate molecular and macroscopic equations are offered which remedy some of the shortcomings which appear in the above mentioned approximate theories. (auth)
- Research Organization:
- New York Univ., New York. Inst. of Mathematical Sciences
- NSA Number:
- NSA-15-032603
- OSTI ID:
- 4824193
- Report Number(s):
- AFOSR-1380; MF-17
- Country of Publication:
- United States
- Language:
- English
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