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Generalized Broadwell models for the discrete Boltzmann equation with linear and quadratic terms
Author(s) -
Yamazaki Mitsuru
Publication year - 2000
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(20000110)23:1<63::aid-mma103>3.0.co;2-0
Subject(s) - mathematics , generalization , quadratic equation , dimension (graph theory) , bounded function , mathematical analysis , boltzmann equation , space (punctuation) , pure mathematics , geometry , linguistics , philosophy , physics , quantum mechanics
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. Copyright © 2000 John Wiley & Sons, Ltd.