Translator Disclaimer
November/December 2010 The Stationary Boltzmann equation for a two-component gas in the slab with different molecular masses
Stéphane Brull
Adv. Differential Equations 15(11/12): 1103-1124 (November/December 2010).

Abstract

The stationary Boltzmann equation for hard and soft forces in the context of a two-component gas is considered in the slab when the molecular masses of the two components are different. An $L^{1}$ existence theorem is proved when one component satisfies a given data profile and the other component satisfies diffuse reflection at the boundaries. Weak $L^{1}$ compactness is extracted from the control of the entropy production term of the mixture.

Citation

Download Citation

Stéphane Brull. "The Stationary Boltzmann equation for a two-component gas in the slab with different molecular masses." Adv. Differential Equations 15 (11/12) 1103 - 1124, November/December 2010.

Information

Published: November/December 2010
First available in Project Euclid: 18 December 2012

zbMATH: 1337.35108
MathSciNet: MR2743496

Subjects:
Primary: 35Q20, 45K05

Rights: Copyright © 2010 Khayyam Publishing, Inc.

JOURNAL ARTICLE
22 PAGES


SHARE
Vol.15 • No. 11/12 • November/December 2010
Back to Top