ON APPROXIMATION OF THE BOLTZMANN-EQUATION BY DISCRETE VELOCITY MODELS

Authors
BOBYLEV AV PALCZEWSKI A SCHNEIDER J
Citation
Av. Bobylev et al., ON APPROXIMATION OF THE BOLTZMANN-EQUATION BY DISCRETE VELOCITY MODELS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 320(5), 1995, pp. 639-644
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
320
Issue
5
Year of publication
1995
Pages
639 - 644
Database
ISI
SICI code
0764-4442(1995)320:5<639:OAOTBB>2.0.ZU;2-H
Abstract
We present in this Note a result of consistency of a discrete-velocity model with the Boltzmann equation. This model is constructed as a qua drature formula of the collision integral, by using a regular grid in the velocity space (R(3)). The convergence of the above approximation leans mainly on some propel ty of uniform repartition of integer roots of the equation p(2) + q(2) + r(2) = n with n an integer.