The Analytical Solutions of 2D Stationary Broadwell Kinetic Model

The present communication is devoted to the calculation of some explicit stationary solutions of the four-velocity Broadwell kinetic model in two spatial dimensions. The method of the truncated Painlevé expansion is employed and two classes of solutions are constructed. It is shown that these soluti...

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Bibliographic Details
Published in:Journal of statistical physics 2012, Vol.146 (1), p.67-72
Main Author: Ilyin, Oleg
Format: Article
Language:English
Subjects:
Mathematical and Computational Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
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Summary:The present communication is devoted to the calculation of some explicit stationary solutions of the four-velocity Broadwell kinetic model in two spatial dimensions. The method of the truncated Painlevé expansion is employed and two classes of solutions are constructed. It is shown that these solutions satisfy the special boundary value problem in a rectangle.
ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-011-0393-6