KMS Of Academy of mathematics and systems sciences, CAS
Analysis of an inviscid zero-Mach number system in endpoint Besov spaces for finite-energy initial data | |
Fanelli, Francesco1; Liao, Xian2 | |
2015-11-15 | |
发表期刊 | JOURNAL OF DIFFERENTIAL EQUATIONS |
ISSN | 0022-0396 |
卷号 | 259期号:10页码:5074-5114 |
摘要 | The present paper is the continuation of work [18], devoted to the study of an inviscid zero-Mach number system in the framework of endpoint Besov spaces of type B-infinity(1) (R-d), r is an element of [1, infinity], d > 2, which can be embedded in the Lipschitz class CO31. In particular, the largest case B-infinity,1(1) and the case of Holder spaces C-1,C-alpha are taken into account. The local in time well-posedness of this system is proved, under an additional finite-energy hypothesis on the initial data. The key to get this result is new a priori estimates for parabolic equations with variable coefficients in endpoint spaces B-infinity,r(s) (R-d), which are of independent interest. In the special case of space dimension d =2, we are able to give a lower bound for the lifespan, such that the solutions tend to be globally defined when the initial inhomogeneity is small. There, we will show refined a priori estimates in endpoint Besov spaces for transport equations. (C) 2015 Elsevier Inc. All rights reserved. |
关键词 | Zero-Mach number system Endpoint Besov spaces Well-posedness Lifespan Parabolic equations Transport equations |
DOI | 10.1016/j.jde.2015.06.038 |
语种 | 英语 |
资助项目 | MICINN, Spain[MTM2011-29306-C02-00] ; ERC Advanced Grant[FP7-246775 NUMERIWAVES] ; ESF Research Networking Programme OPT-PDE ; Basque Government[PI2010-04] ; project "Instabilities in Hydrodynamics" - Paris city hall (program "Emergences") ; Fondation Sciences Mathematiques de Paris ; China Scholarship Council ; Ministry of Education, Youth and Sports of the Czech Republic[ERC-CZ LL1202 MORE] ; MCM |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
WOS记录号 | WOS:000360258000005 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/20629 |
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, F-75205 Paris 13, France 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100864, Peoples R China |
推荐引用方式 GB/T 7714 | Fanelli, Francesco,Liao, Xian. Analysis of an inviscid zero-Mach number system in endpoint Besov spaces for finite-energy initial data[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2015,259(10):5074-5114. |
APA | Fanelli, Francesco,&Liao, Xian.(2015).Analysis of an inviscid zero-Mach number system in endpoint Besov spaces for finite-energy initial data.JOURNAL OF DIFFERENTIAL EQUATIONS,259(10),5074-5114. |
MLA | Fanelli, Francesco,et al."Analysis of an inviscid zero-Mach number system in endpoint Besov spaces for finite-energy initial data".JOURNAL OF DIFFERENTIAL EQUATIONS 259.10(2015):5074-5114. |
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