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A discrete velocity direction model for the Boltzmann equation and applications to micro gas flows

✍ Scribed by Zhenyu Zhang; Jianzhong Xu; Zhiguo Qi; Guang Xi


Book ID
108164169
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
215 KB
Volume
227
Category
Article
ISSN
0021-9991

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## Abstract This paper discusses the convergence of a new discrete‐velocity model to the Boltzmann equation. First the consistency of the collision integral approximation is proved. Based on this we prove the convergence of solutions for a modified model to renormalized solutions of the Boltzmann e