The well-posedness issue for an inviscid zero-Mach number system in general Besov spaces
文献类型：期刊论文
| 作者 | Fanelli, Francesco1; Liao, Xian2 |
| 刊名 | ASYMPTOTIC ANALYSIS
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000356501200006 |
| 出版者 | IOS PRESS |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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