Regularization by transport noises for 3D MHD equations
文献类型：期刊论文
| 作者 | Luo, Dejun1,2
|
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2022-11-07 |
| 页码 | 20 |
| 关键词 | magnetohydrodynamical equation vorticity well-posedness regularization by noises transport noise |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-021-1981-9 |
| 英文摘要 | We consider the problem of regularization by noises for the three-dimensional magnetohydrodynamical (3D MHD) equations. It is shown that in a suitable scaling limit, the multiplicative noise of transport type gives rise to bounds on the vorticity fields of the fluid velocity and magnetic fields. As a result, if the noise intensity is big enough, then the stochastic 3D MHD equations admit a pathwise unique global solution for large initial data with high probability. |
| 资助项目 | National Key R&D Program of China[2020YFA0712700] ; National Natural Science Foundation of China[11931004] ; National Natural Science Foundation of China[12090014] ; Youth Innovation Promotion Association, Chinese Academy of Sciences[Y2021002] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000881663900001 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60671]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Luo, Dejun |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Random Complex Struct & Data Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Luo, Dejun. Regularization by transport noises for 3D MHD equations[J]. SCIENCE CHINA-MATHEMATICS,2022:20. |
| APA | Luo, Dejun.(2022).Regularization by transport noises for 3D MHD equations.SCIENCE CHINA-MATHEMATICS,20. |
| MLA | Luo, Dejun."Regularization by transport noises for 3D MHD equations".SCIENCE CHINA-MATHEMATICS (2022):20. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。