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	Model Reduction of Kinetic Equations by Operator Projection
	Fan, Yuwei ; Koellermeier, Julian ; Li, Jun ; Li, Ruo ; Torrilhon, Manuel
	2016
关键词	Kinetic equation Boltzmann equation Moment method Projection Hyperbolicity Regularization GLOBALLY HYPERBOLIC REGULARIZATION GRADS MOMENT SYSTEM GAS THEORY FRAMEWORK CLOSURE
英文摘要	By a further study of the mechanism of the hyperbolic regularization of the moment system for the Boltzmann equation proposed in Cai et al. (Commun Math Sci 11(2):547-571, 2013), we point out that the key point is treating the time and space derivative in the same way. Based on this understanding, a uniform framework to derive globally hyperbolic moment systems from kinetic equations using an operator projection method is proposed. The framework is so concise and clear that it can be treated as an algorithm with four inputs to derive hyperbolic moment systems by routine calculations. Almost all existing globally hyperbolic moment systems can be included in the framework, as well as some new moment systems including globally hyperbolic regularized versions of Grad's ordered moment systems and a multi-dimensional extension of the quadrature-based moment system.; SCI(E); ARTICLE; ywfan@pku.edu.cn; koellermeier@mathcces.rwth-aachen.de; lijun609@pku.edu.cn; rli@math.pku.edu.cn; mt@mathcces.rwth-aachen.de; 2; 457-486; 162
语种	英语
出处	SCI
出版者	JOURNAL OF STATISTICAL PHYSICS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/439010]
专题	数学科学学院 工学院
推荐引用方式 GB/T 7714	Fan, Yuwei,Koellermeier, Julian,Li, Jun,et al. Model Reduction of Kinetic Equations by Operator Projection. 2016-01-01.

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