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Regularization by transport noises for 3D MHD equations
Luo, Dejun1,2
AbstractWe 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.
Keywordmagnetohydrodynamical equation vorticity well-posedness regularization by noises transport noise
Indexed BySCI
Funding ProjectNational 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 Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000881663900001
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Document Type期刊论文
Corresponding AuthorLuo, Dejun
Affiliation1.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
Recommended Citation
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.
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