Regularization by transport noises for 3D MHD equations

doi:10.1007/s11425-021-1981-9

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	Regularization by transport noises for 3D MHD equations
	Luo, Dejun1,2
	2022-11-07
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
页码	20
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.
关键词	magnetohydrodynamical equation vorticity well-posedness regularization by noises transport noise
DOI	10.1007/s11425-021-1981-9
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[11931004] ; National Natural Science Foundation of China[12090014] ; Youth Innovation Promotion Association, Chinese Academy of Sciences[Y2021002]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000881663900001
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60672
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.