DYNAMICS OF THE STOCHASTIC g-NAVIER-STOKES EQUATIONS DRIVEN BY NONLINEAR NOISE

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摘要 This paper deals with the asymptotic behavior of solutions of the stochastic g-Navier-Stokes equation driven by nonlinear noise.The existence and uniqueness of weak pullback mean random attractors for the equation in Bochner space is proven for when the diffusion terms are Lipschitz nonlinear functions.Furthermore,we also establish the existence of invariant measures for the equation.

作者晏涛张露邹爱红舒级 Tao YAN;LIu ZHANG;Aihong ZOU;Ji SHU(School of Mathematical Sciences,Laurent Mathematics Center and V.C.&V.R.Key Lab,Sichuan Normal University,Chengdu 610066,China)

机构地区 School of Mathematical Sciences

出处《Acta Mathematica Scientia》 SCIE CSCD 2023年第5期2108-2120,共13页 数学物理学报（B辑英文版）

基金 supported by the National NaturalScience Foundation of China(11871138) the Sichuan Science and Technology Program(2023NSFSC0076)。

关键词 non-Newtonian fuid weak pullback attractor mean random dynamical system nonlinear noise invariant measure

分类号 O175 [理学—基础数学]

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Acta Mathematica Scientia

2023年第5期

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DYNAMICS OF THE STOCHASTIC g-NAVIER-STOKES EQUATIONS DRIVEN BY NONLINEAR NOISE

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