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High mode transport noise improves vorticity blow-up control in 3D Navier-Stokes equations

文献类型：期刊论文

作者Flandoli, Franco1; Luo, Dejun2,3
刊名PROBABILITY THEORY AND RELATED FIELDS
出版日期2021-03-10
页码55
关键词3D Navier– Stokes equations Well posedness Regularization by noise Transport noise Vorticity blow-up control
ISSN号0178-8051
DOI10.1007/s00440-021-01037-5
英文摘要The paper is concerned with the problem of regularization by noise of 3D Navier-Stokes equations. As opposed to several attempts made with additive noise which remained inconclusive, we show here that a suitable multiplicative noise of transport type has a regularizing effect. It is proven that stochastic transport noise provides a bound on vorticity which gives well posedness, with high probability. The result holds for sufficiently large noise intensity and sufficiently high spectrum of the noise.
资助项目National Key R&D Program of China[2020YFA0712700] ; NationalNatural Science Foundation of China[11688101] ; NationalNatural Science Foundation of China[11931004] ; NationalNatural Science Foundation of China[12090014] ; Youth Innovation Promotion Association, CAS[2017003]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000627185400001
出版者SPRINGER HEIDELBERG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/58281]  
专题应用数学研究所
通讯作者Luo, Dejun
作者单位1.Scuola Normale Super Pisa, Piazza Cavalieri 7, I-56124 Pisa, Italy
2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab RCSDS, Beijing, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
推荐引用方式
GB/T 7714		 Flandoli, Franco,Luo, Dejun. High mode transport noise improves vorticity blow-up control in 3D Navier-Stokes equations[J]. PROBABILITY THEORY AND RELATED FIELDS,2021:55.
APA Flandoli, Franco,&Luo, Dejun.(2021).High mode transport noise improves vorticity blow-up control in 3D Navier-Stokes equations.PROBABILITY THEORY AND RELATED FIELDS,55.
MLA Flandoli, Franco,et al."High mode transport noise improves vorticity blow-up control in 3D Navier-Stokes equations".PROBABILITY THEORY AND RELATED FIELDS (2021):55.

入库方式： OAI收割

来源：数学与系统科学研究院

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