On the Cauchy problem of the Boltzmann and Landau equations with soft potentials

CSpace

	On the Cauchy problem of the Boltzmann and Landau equations with soft potentials
	Hsiao, Ling ; Yu, Hongjun
	2007-06-01
发表期刊	QUARTERLY OF APPLIED MATHEMATICS
ISSN	0033-569X
卷号	65 期号:2 页码:281-315
摘要	Global classical solutions near Maxwellians are constructed for the Boltzmann and Landau equations with soft potentials in the whole space. The construction of global solutions is based on refined energy analysis. Our results generalize the classical results in Ukai and Asano (Publ. Res. Inst. Math. Sci. 18 (1982), 477-519) to the very soft potentials for the Boltzmann equation and also extend the classical results in Caflisch (Comm. Math. Phys. 74 (1980), 97-107), Guo (Comm. Math. Phys. 231 (2002), 391-434), and Guo (Arch. Rat. Mech. Anal. 169 (2003), 305-353) in the periodic box to the whole space for the Boltzmann equation and the Landau equation in the Coulomb interaction.
关键词	Boltzmann equation Landau equation soft potentials global solutions
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000247230400003
出版者	UNIV PRESS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5087
专题	中国科学院数学与系统科学研究院
通讯作者	Hsiao, Ling
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.S China Univ Technol, Sch Math Sci, Guangzhou 510640, Peoples R China
推荐引用方式 GB/T 7714	Hsiao, Ling,Yu, Hongjun. On the Cauchy problem of the Boltzmann and Landau equations with soft potentials[J]. QUARTERLY OF APPLIED MATHEMATICS,2007,65(2):281-315.
APA	Hsiao, Ling,&Yu, Hongjun.(2007).On the Cauchy problem of the Boltzmann and Landau equations with soft potentials.QUARTERLY OF APPLIED MATHEMATICS,65(2),281-315.
MLA	Hsiao, Ling,et al."On the Cauchy problem of the Boltzmann and Landau equations with soft potentials".QUARTERLY OF APPLIED MATHEMATICS 65.2(2007):281-315.