Regularization by Noise for the Point Vortex Model of mSQG Equations
文献类型：期刊论文
| 作者 | Luo, De Jun1,2; Saal, Martin3 |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2020-04-15 |
| 页码 | 15 |
| 关键词 | Point vortices modified Surface Quasi-Geostrophic equations space-dependent noise absolute continuity |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-020-9256-x |
| 英文摘要 | We consider the point vortex model associated to the modified Surface Quasi-Geostrophic (mSQG) equations on the two dimensional torus. It is known that this model is well posed for almost every initial conditions. We show that, when the system is perturbed by a certain space-dependent noise, it admits a unique global solution for any initial configuration. We also present an explicit example for the deterministic system on the plane where three different point vortices collapse. |
| 资助项目 | National Natural Science Foundation of China[11571347] ; National Natural Science Foundation of China[11688101] ; Youth Innovation Promotion Association, CAS[2017003] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000526189800001 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51112]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Luo, De Jun |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab RCSDS, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Tech Univ Darmstadt, Dept Math, Schlossgartenstr 7, D-64289 Darmstadt, Germany |
| 推荐引用方式 GB/T 7714 | Luo, De Jun,Saal, Martin. Regularization by Noise for the Point Vortex Model of mSQG Equations[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2020:15. |
| APA | Luo, De Jun,&Saal, Martin.(2020).Regularization by Noise for the Point Vortex Model of mSQG Equations.ACTA MATHEMATICA SINICA-ENGLISH SERIES,15. |
| MLA | Luo, De Jun,et al."Regularization by Noise for the Point Vortex Model of mSQG Equations".ACTA MATHEMATICA SINICA-ENGLISH SERIES (2020):15. |
入库方式： OAI收割
来源：数学与系统科学研究院
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