Accession Number:

ADA165120

Title:

The Half-Space Problem for the Boltzmann Equation at Zero Temperature,

Descriptive Note:

Corporate Author:

NEW YORK UNIV NY COURANT INST OF MATHEMATICAL SCIENCES

Personal Author(s):

Report Date:

1985-01-01

Pagination or Media Count:

18.0

Abstract:

At zero temperature the Maxwellian distribution is a delta function of velocity. In this paper the Boltzmann equation is linearized around a delta function and then analyzed by a comparison method. Using these results and similar bounds for the nonlinear collision operator, nonlinear boundary value problem at zero temperature is solved. The results are applied to the asymptotic description at the cold end of the shock profile at infinite Mach number. All solutions F are assumed to have the form Fx,xi 1 - ax xi fx,xi in which a and f are regular functions. Reprints

Subject Categories:

  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE