Advances in Differential Equations

The Stationary Boltzmann equation for a two-component gas in the slab with different molecular masses

Stéphane Brull

Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

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.

Article information

Source
Adv. Differential Equations Volume 15, Number 11/12 (2010), 1103-1124.

Dates
First available in Project Euclid: 18 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355854436

Mathematical Reviews number (MathSciNet)
MR2743496

Zentralblatt MATH identifier
1337.35108

Subjects
Primary: 45K05: Integro-partial differential equations [See also 34K30, 35R09, 35R10, 47G20] 35Q20: Boltzmann equations

Citation

Brull, Stéphane. The Stationary Boltzmann equation for a two-component gas in the slab with different molecular masses. Adv. Differential Equations 15 (2010), no. 11/12, 1103--1124. https://projecteuclid.org/euclid.ade/1355854436.


Export citation