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	13-Moment System with Global Hyperbolicity for Quantum Gas
	Di, Yana ; Fan, Yuwei ; Li, Ruo
	2017
关键词	Quantum gas Quantum Boltzmann equation Grad&apos Global hyperbolicity Regularization GRADS MOMENT SYSTEM MODEL-REDUCTION REGULARIZATION EQUATION BOSE s 13-moment system
英文摘要	We point out that the quantum Grad's 13-moment system (Yano in Physica A 416:231-241, 2014) is lack of global hyperbolicity, and even worse, the thermodynamic equilibrium is not an interior point of the hyperbolicity region of the system. To remedy this problem, by fully considering Grad's expansion, we split the expansion into the equilibrium part and the non-equilibrium part, and propose a regularization for the system with the help of the new hyperbolic regularization theory developed in Cai et al. (SIAM J Appl Math 75(5):2001-2023, 2015) and Fan et al. (J Stat Phys 162(2):457-486, 2016). This provides us a new model which is hyperbolic for all admissible thermodynamic states, and meanwhile preserves the approximate accuracy of the original system. It should be noted that this procedure is not a trivial application of the hyperbolic regularization theory.; National Natural Science Foundation of China [11271358, 91330205, 11421110001, 11421101, 11325102]; SCI(E); ARTICLE; 5; 1280-1302; 167
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/20.500.11897/473221]
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. 13-Moment System with Global Hyperbolicity for Quantum Gas. 2017-01-01.

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