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

doi:10.1007/s00440-021-01037-5

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	High mode transport noise improves vorticity blow-up control in 3D Navier-Stokes equations
	Flandoli, Franco 1; Luo, Dejun2,3
	2021-03-10
发表期刊	PROBABILITY THEORY AND RELATED FIELDS
ISSN	0178-8051
页码	55
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.
关键词	3D Navier– Stokes equations Well posedness Regularization by noise Transport noise Vorticity blow-up control
DOI	10.1007/s00440-021-01037-5
收录类别	SCI
语种	英语
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
WOS类目	Statistics & Probability
WOS记录号	WOS:000627185400001
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58282
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.