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The half-space problem for the boltzmann equation at zero temperature

✍ Scribed by Russel E. Caflisch

Publisher
John Wiley and Sons
Year
1985
Tongue
English
Weight
583 KB
Volume
38
Category
Article
ISSN
0010-3640

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✦ Synopsis

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, a 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 F ( x , & ) = (1a ( x ) ) & ( & ) + f ( x , & ) in which a and f are regular functions.

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