A Stochastic Variational Approach to Viscous Burgers Equations
文献类型：期刊论文
| 作者 | Cruzeiro, Ana Bela1,2; Liu, Guo Ping1,2,3 |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2016-09-01 |
| 卷号 | 32期号:9页码:1027-1034 |
| 关键词 | Burgers equations stochastic variational principles Lagrangian diffusions |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-016-5773-z |
| 英文摘要 | We consider viscous Burgers equations in one dimension of space and derive their solutions from stochastic variational principles on the corresponding group of homeomorphisms. The metrics considered on this group are L-p metrics. The velocity corresponds to the drift of some stochastic Lagrangian processes. Existence of minima is proved in some cases by direct methods. We also give a representation of the solutions of viscous Burgers equations in terms of stochastic forward-backward systems. |
| 资助项目 | State Scholarship Fund of China |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000382001900003 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/23501]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Cruzeiro, Ana Bela |
| 作者单位 | 1.Univ Lisbon, Inst Super Tecn, GFMUL, Av Rovisco Pais, P-1049001 Lisbon, Portugal 2.Univ Lisbon, Inst Super Tecn, Dept Matemat, Av Rovisco Pais, P-1049001 Lisbon, Portugal 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cruzeiro, Ana Bela,Liu, Guo Ping. A Stochastic Variational Approach to Viscous Burgers Equations[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2016,32(9):1027-1034. |
| APA | Cruzeiro, Ana Bela,&Liu, Guo Ping.(2016).A Stochastic Variational Approach to Viscous Burgers Equations.ACTA MATHEMATICA SINICA-ENGLISH SERIES,32(9),1027-1034. |
| MLA | Cruzeiro, Ana Bela,et al."A Stochastic Variational Approach to Viscous Burgers Equations".ACTA MATHEMATICA SINICA-ENGLISH SERIES 32.9(2016):1027-1034. |
入库方式： OAI收割
来源：数学与系统科学研究院
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