Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system
文献类型：期刊论文
| 作者 | Luo,Dejun1,2
|
| 刊名 | Nonlinearity
 |
| 出版日期 | 2021-11-05 |
| 卷号 | 34期号:12 |
| 关键词 | 2D Boussinesq system vorticity formulation transport noise weak convergence 60H15 35Q35 |
| ISSN号 | 0951-7715 |
| DOI | 10.1088/1361-6544/ac3145 |
| 英文摘要 | Abstract The inviscid 2D Boussinesq system with thermal diffusivity and multiplicative noise of transport type is studied in the L 2-setting. It is shown that, under a suitable scaling of the noise, weak solutions to the stochastic 2D Boussinesq equations converge weakly to the unique solution of the deterministic viscous Boussinesq system. Consequently, the transport noise asymptotically regularises the inviscid 2D Boussinesq system and enhances dissipation in the limit. |
| 语种 | 英语 |
| WOS记录号 | IOP:NON_34_12_8311 |
| 出版者 | IOP Publishing |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59133]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Luo,Dejun |
| 作者单位 | 1.Key Laboratory of RCSDS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, People’s Republic of China 2.School of Mathematical Sciences, University of the Chinese Academy of Sciences, Beijing, People’s Republic of China |
| 推荐引用方式 GB/T 7714 | Luo,Dejun. Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system[J]. Nonlinearity,2021,34(12). |
| APA | Luo,Dejun.(2021).Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system.Nonlinearity,34(12). |
| MLA | Luo,Dejun."Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system".Nonlinearity 34.12(2021). |
入库方式： OAI收割
来源：数学与系统科学研究院
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