In this paper, we will establish two kinds of averaging principles for stochastic 2D Navier–Stokes equations, i.e. Bogoliubov averaging principle and Stratonovich–Khasminskii averaging principle. These averaging principles are powerful tools for studying asymptotic behavior of stochastic 2D Navier–Stokes equations.
机构:
Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Changchun 130024, Peoples R ChinaNortheast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
机构:
Department of Mathematics, University of Wyoming, Dept. 3036, 1000 East University Avenue, LaramieDepartment of Mathematics, University of Wyoming, Dept. 3036, 1000 East University Avenue, Laramie
Bessaih H.
Brzeźniak Z.
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机构:
Department of Mathematics, University of York, Heslington, YorkDepartment of Mathematics, University of Wyoming, Dept. 3036, 1000 East University Avenue, Laramie
Brzeźniak Z.
Millet A.
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机构:
SAMM, EA 4543, Université Paris 1 Panthéon-Sorbonne, 90 Rue de Tolbiac, Paris Cedex
Laboratoire de Probabilités et Modèles Aléatoires, Universités Paris 6-Paris 7, Boîte Courrier 188, 4 place Jussieu, Paris Cedex 05Department of Mathematics, University of Wyoming, Dept. 3036, 1000 East University Avenue, Laramie
机构:
Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Univ Bielefeld, Dept Math, D-33615 Bielefeld, GermanyChinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Liang, Siyu
Zhang, Ping
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机构:
Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Zhang, Ping
Zhu, Rongchan
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机构:
Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
Univ Bielefeld, Dept Math, D-33615 Bielefeld, GermanyChinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China