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Linear Stability of Hyperbolic Moment Models for Boltzmann Equation
Di, Yana ; Fan, Yuwei ; Li, Ruo ; Zheng, Lingchao
2017
关键词Boltzmann equation Grad&apos hyperbolic moment equation linear stability REGULARIZATION SYSTEM s moment method
英文摘要Grad's moment models for Boltzmann equation were recently regularized to globally hyperbolic systems and thus the regularized models attain local well-posedness for Cauchy data. The hyperbolic regularization is only related to the convection term in Boltzmann equation. We in this paper studied the regularized models with the presentation of collision terms. It is proved that the regularized models are linearly stable at the local equilibrium and satisfy Yong's first stability condition with commonly used approximate collision terms, and particularly with Boltzmann's binary collision model.; National Natural Science Foundation of China [11271358, 91434201, 91330205, 11421110001, 11421101, 11325102]; SCI(E); 中国科学引文数据库(CSCD); ARTICLE; 2; 255-277; 10
语种英语
出处CSCD ; SCI
出版者NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/473713]  
专题数学科学学院
工学院
推荐引用方式
GB/T 7714
Di, Yana,Fan, Yuwei,Li, Ruo,et al. Linear Stability of Hyperbolic Moment Models for Boltzmann Equation. 2017-01-01.
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