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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