Constantin and Iyer's Representation Formula for the Navier-Stokes Equations on Manifolds
文献类型：期刊论文
| 作者 | Fang, Shizan1; Luo, Dejun2,3
|
| 刊名 | POTENTIAL ANALYSIS
 |
| 出版日期 | 2018-02-01 |
| 卷号 | 48期号:2页码:181-206 |
| 关键词 | Navier-Stokes equations Stochastic representation de Rham-Hodge Laplacian Stochastic flow Pull-back vector field |
| ISSN号 | 0926-2601 |
| DOI | 10.1007/s11118-017-9631-0 |
| 英文摘要 | The purpose of this paper is to establish a probabilistic representation formula for the Navier-Stokes equations on compact Riemannian manifolds. Such a formula has been provided by Constantin and Iyer in the flat case of a"e (n) or of T (n) . On a Riemannian manifold, however, there are several different choices of Laplacian operators acting on vector fields. In this paper, we shall use the de Rham-Hodge Laplacian operator which seems more relevant to the probabilistic setting, and adopt Elworthy-Le Jan-Li's idea to decompose it as a sum of the square of Lie derivatives. |
| 资助项目 | National Natural Science Foundation of China[11431014] ; National Natural Science Foundation of China[11571347] ; Seven Main Directions[Y129161ZZ1] ; Academy of Mathematics and Systems Science, Chinese Academy of Sciences |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000422968600003 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29354]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Luo, Dejun |
| 作者单位 | 1.Univ Bourgogne, IMB, BP 47870, F-21078 Dijon, France 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Random Complex Struct & Data Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Fang, Shizan,Luo, Dejun. Constantin and Iyer's Representation Formula for the Navier-Stokes Equations on Manifolds[J]. POTENTIAL ANALYSIS,2018,48(2):181-206. |
| APA | Fang, Shizan,&Luo, Dejun.(2018).Constantin and Iyer's Representation Formula for the Navier-Stokes Equations on Manifolds.POTENTIAL ANALYSIS,48(2),181-206. |
| MLA | Fang, Shizan,et al."Constantin and Iyer's Representation Formula for the Navier-Stokes Equations on Manifolds".POTENTIAL ANALYSIS 48.2(2018):181-206. |
入库方式： OAI收割
来源：数学与系统科学研究院
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