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Existence of Solutions to the Stationary Linear Boltzmann Equation

โœ Scribed by Falk, Lennart

Book ID
120278743
Publisher
Taylor and Francis Group
Year
2003
Tongue
English
Weight
328 KB
Volume
32
Category
Article
ISSN
0041-1450

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๐Ÿ“œ SIMILAR VOLUMES

Stationary solutions of the linearized B
Stationary solutions of the linearized Boltzmann equation in a half-space
โœ F. Golse; F. Poupaud; H. Neunzert ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 743 KB

## Communicated by H. Neunzert Stationary half-space solutions of the linearized Boltzmann equation are studied by energy estimates methods. We extend the results of Bardos, Caflisch and Nicolaenko for a gas of hard spheres to a general potential. Asymptotic behaviour is obtained for hard as well

Stationary solutions of the non-linear B
Stationary solutions of the non-linear Boltzmann equation in a bounded spatial domain
โœ C. V. M. van der Mee; H. Neunzert ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 648 KB

A contraction mapping (or, alternatively, an implicit function theory) argument is applied in combination with the Fredholm alternative to prove the existence of a unique stationary solution of the non-linear Boltzmann equation on a bounded spatial domain under a rather general reflection law at the