✦ LIBER ✦

Exact Solutions of Discrete Kinetic Models and Stationary Problems for the Plane Broadwell Model

✍ Scribed by A. V. Bobylev

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 896 KB
Volume: 19
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(19960710)19:10<825::aid-mma799>3.0.co;2-1

No coin nor oath required. For personal study only.

✦ Synopsis

This paper is dedicated to Joachim Wick Communicated by H. Neunzert A review of exact solutions of discrete velocity models is given. Different methods of constructing the solutions are discussed. New methods are proposed for the stationary Broadwell model, and new class of solutions is obtained. Two-dimensional flows in channel are studied on the basis of exact solutions and analogy with the Carleman model. Explicit example of non-unique solution to a boundary value problem is given. Exact hydrodynamic equations are derived for the stationary Broadwell model. A role of the Navier-Stokes approximation is discussed in detail by comparison with these exact equations. CCC 01 70-42 14/96/1OO825-2 1 0 1996 by B. G. Teubner Stuttgart-John Wiley 8c Sons Ltd.

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