ASYMPTOTIC BEHAVIOR OF STOCHASTIC ANISOTROPIC NAVIER-STOKES MODELS

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摘要 The existence and uniqueness of stationary solutions to anisotropic Navier-Stokes equations is investigated by a Galerkin technique in this work.Based on this conclusion,we further explore the exponential stability of weak solutions to stochastic anisotropic NavierStokes equations.We present a relationship among different growth exponents,which is sufficient to guarantee the existence,uniqueness and exponential stability of stationary solutions.

作者 Min ZHU Hongshuai DAI 朱敏;戴洪帅

机构地区 College of Science School of Statistics and Mathematics

出处《Acta Mathematica Scientia》 2025年第5期2264-2278,共15页 数学物理学报(B辑英文版)

基金 supported by the Natural Science Foundation of Hunan Province of China(2024JJ5123) supported by the Shandong Provincial Natural Science Foundation(ZR2023MA072,ZR2020MA036)。

关键词 asymptotic behavior stochastic anisotropic Navier-Stokes equation embedding theorems anisotropic Sobolev space stability

分类号 O211 [理学—概率论与数理统计]

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Acta Mathematica Scientia

2025年第5期

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ASYMPTOTIC BEHAVIOR OF STOCHASTIC ANISOTROPIC NAVIER-STOKES MODELS

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