The well-posedness issue for an inviscid zero-Mach number system in general Besov spaces

doi:10.3233/ASY-151290

	The well-posedness issue for an inviscid zero-Mach number system in general Besov spaces
	Fanelli, Francesco 1; Liao, Xian 2
刊名	ASYMPTOTIC ANALYSIS
	2015
卷号	93 期号:1-2 页码:115-140
关键词	zero-Mach number system well-posedness Besov spaces Chemin-Lerner spaces continuation criterion lifespan
ISSN号	0921-7134
DOI	10.3233/ASY-151290
英文摘要	The present paper is devoted to the study of a zero-Mach number system with heat conduction but no viscosity. We work in the framework of general non-homogeneous Besov spaces B-p,r(s) (R-d), with p is an element of [2, 4] and for any d >= 2, which can be embedded into the class of globally Lipschitz functions. We prove a local in time well-posedness result in these classes and we are also able to show a continuation criterion and a lower bound for the lifespan of the solutions. The proof of the results relies on Littlewood-Paley decomposition and paradifferential calculus, and on refined commutator estimates in Chemin-Lerner spaces.
资助项目	MICINN, Spain[MTM2011-29306-C02-00] ; Basque Government[PI2010-04] ; project "Instabilities in Hydrodynamics" ; Paris city hall (program "Emergences") ; Fondation Sciences Mathematiques de Paris ; Ministry of Education, Youth and Sports of the Czech Republic ; ERC[FP7-246775 NUMERIWAVES] ; ESF Research Networking Programme OPTPDE ; [ERC-CZ LL1202 MORE]
WOS研究方向	Mathematics
语种	英语
出版者	IOS PRESS
WOS记录号	WOS:000356501200006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/20030]
专题	中国科学院数学与系统科学研究院
通讯作者	Liao, Xian
作者单位	1.Univ Paris Diderot, UMR 7586, Inst Math Jussieu Paris Rive Gauche, Paris, France 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Fanelli, Francesco,Liao, Xian. The well-posedness issue for an inviscid zero-Mach number system in general Besov spaces[J]. ASYMPTOTIC ANALYSIS,2015,93(1-2):115-140.
APA	Fanelli, Francesco,&Liao, Xian.(2015).The well-posedness issue for an inviscid zero-Mach number system in general Besov spaces.ASYMPTOTIC ANALYSIS,93(1-2),115-140.
MLA	Fanelli, Francesco,et al."The well-posedness issue for an inviscid zero-Mach number system in general Besov spaces".ASYMPTOTIC ANALYSIS 93.1-2(2015):115-140.