KMS Of Academy of mathematics and systems sciences, CAS
| Delayed blow-up by transport noise | |
Flandoli, Franco1; Galeati, Lucio2; Luo, Dejun3,4
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| 2021-02-25 | |
| 发表期刊 | COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
 |
| ISSN | 0360-5302 |
| 页码 | 32 |
| 摘要 | For some deterministic nonlinear PDEs on the torus whose solutions may blow up in finite time, we show that, under suitable conditions on the nonlinear term, the blow-up is delayed by multiplicative noise of transport type in a certain scaling limit. The main result is applied to the 3D Keller-Segel, 3D Fisher-KPP, and 2D Kuramoto-Sivashinsky equations, yielding long-time existence for large initial data with high probability. |
| 关键词 | Dissipation enhancement Fisher– KPP equation Keller– Segel equation Kuramoto– Sivashinsky equation scaling limit transport noise |
| DOI | 10.1080/03605302.2021.1893748 |
| 收录类别 | SCI |
| 语种 | 英语 |
| 资助项目 | National Key R&D Program of China[2020YFA0712700] ; National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[11931004] ; National Natural Science Foundation of China[12090014] |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied ; Mathematics |
| WOS记录号 | WOS:000628048300001 |
| 出版者 | TAYLOR & FRANCIS INC |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/58427 |
| 专题 | 应用数学研究所 |
| 通讯作者 | Flandoli, Franco |
| 作者单位 | 1.Scuola Normale Super Pisa, Piazza Cavalieri 7, I-56124 Pisa, Italy 2.Univ Bonn, Inst Appl Math, Bonn, Germany 3.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab RCSDS, Beijing, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Flandoli, Franco,Galeati, Lucio,Luo, Dejun. Delayed blow-up by transport noise[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,2021:32. |
| APA | Flandoli, Franco,Galeati, Lucio,&Luo, Dejun.(2021).Delayed blow-up by transport noise.COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,32. |
| MLA | Flandoli, Franco,et al."Delayed blow-up by transport noise".COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS (2021):32. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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