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Generalized Broadwell models for the discrete Boltzmann equation with linear and quadratic terms

✍ Scribed by Mitsuru Yamazaki

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 97 KB
Volume: 23
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(20000110)23:1<63::aid-mma103>3.0.co;2-0

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✦ Synopsis

A generalization of the Broadwell models for the discrete Boltzmann equation with linear and quadratic terms is investigated. We prove that there exists a time-global solution to this model in one space-dimension for locally bounded initial data, using a maximum principle of solutions. The boundedness of solutions is established by analyzing the system of ordinary equations related to the linear term.

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