The Navier-Stokes-alpha equation via forward-backward stochastic differential systems
文献类型：期刊论文
| 作者 | Liu, Guoping1,2,3 |
| 刊名 | STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES
 |
| 出版日期 | 2018 |
| 卷号 | 90期号:1页码:1-28 |
| 关键词 | Navier-Stokes-alpha equation vorticity equation forward-backward stochastic differential equations Feynman-Kac formula |
| ISSN号 | 1744-2508 |
| DOI | 10.1080/17442508.2017.1307986 |
| 英文摘要 | We use forward-backward stochastic differential systems to study the solution of the Navier-Stokes-alpha equation in any dimension. For the two dimensional Navier-Stokes-alpha equation with space periodic boundary conditions, we derive a Feynman-Kac formula associated with the vorticity equation and prove the global existence and uniqueness of the solution in a Sobolev space. For the d dimensional (d >= 3) case, we prove the local existence and uniqueness of the solution in a Sobolev space. |
| 语种 | 英语 |
| WOS记录号 | WOS:000427281100001 |
| 出版者 | TAYLOR & FRANCIS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29851]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, Guoping |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 2.Univ Lisbon, Grp Fis Matemat, Lisbon, Portugal 3.Univ Lisbon, Dept Matemat, Inst Super Tecn, Lisbon, Portugal |
| 推荐引用方式 GB/T 7714 | Liu, Guoping. The Navier-Stokes-alpha equation via forward-backward stochastic differential systems[J]. STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES,2018,90(1):1-28. |
| APA | Liu, Guoping.(2018).The Navier-Stokes-alpha equation via forward-backward stochastic differential systems.STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES,90(1),1-28. |
| MLA | Liu, Guoping."The Navier-Stokes-alpha equation via forward-backward stochastic differential systems".STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES 90.1(2018):1-28. |
入库方式： OAI收割
来源：数学与系统科学研究院
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