MACROSCOPIC REGULARITY FOR THE BOLTZMANN EQUATION

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	MACROSCOPIC REGULARITY FOR THE BOLTZMANN EQUATION
	Huang, Feimin; Wang, Yong1
刊名	ACTA MATHEMATICA SCIENTIA
	2018-09-01
卷号	38 期号:5 页码:1549-1566
关键词	Boltzmann equation macroscopic regularity compressible Navier-Stokes equations
ISSN号	0252-9602
英文摘要	The regularity of solutions to the Boltzmann equation is a fundamental problem in the kinetic theory. In this paper, the case with angular cut-off is investigated. It is shown that the macroscopic parts of solutions to the Boltzmann equation, i.e., the density, momentum and total energy are continuous functions of (x, t) in the region R-3 x (0, +infinity). More precisely, these macroscopic quantities immediately become continuous in any positive time even though they are initially discontinuous and the discontinuities of solutions propagate only in the microscopic level. It should be noted that such kind of phenomenon can not happen for the compressible Navier-Stokes equations in which the initial discontinuities of the density never vanish in any finite time, see [22]. This hints that the Boltzmann equation has better regularity effect in the macroscopic level than compressible Navier-Stokes equations.
资助项目	National Center for Mathematics and Interdisciplinary Sciences ; AMSS ; CAS ; NSFC[11371349] ; NSFC[11688101] ; NSFC[11771429]
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000446808900006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/31484]
专题	应用数学研究所
通讯作者	Wang, Yong
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Huang, Feimin,Wang, Yong. MACROSCOPIC REGULARITY FOR THE BOLTZMANN EQUATION[J]. ACTA MATHEMATICA SCIENTIA,2018,38(5):1549-1566.
APA	Huang, Feimin,&Wang, Yong.(2018).MACROSCOPIC REGULARITY FOR THE BOLTZMANN EQUATION.ACTA MATHEMATICA SCIENTIA,38(5),1549-1566.
MLA	Huang, Feimin,et al."MACROSCOPIC REGULARITY FOR THE BOLTZMANN EQUATION".ACTA MATHEMATICA SCIENTIA 38.5(2018):1549-1566.