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

被引：0
作者：
晏涛
张露
邹爱红
舒级
机构：
[1] SchoolofMathematicalSciences,LaurentMathematicsCenterandVC&VRKeyLab,SichuanNormalUniversity
来源：
Acta Mathematica Scientia | 2023年 / 43卷 / 05期
关键词：
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
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.
引用
收藏
页码：2108 / 2120
页数：13
相关论文
共 24 条
[1]   UPPER SEMI-CONTINUITY OF RANDOM ATTRACTORS FOR A NON-AUTONOMOUS DYNAMICAL SYSTEM WITH A WEAK CONVERGENCE CONDITION [J].
赵文强 ;
张一进 .
Acta Mathematica Scientia, 2020, 40 (04) :921-933
[2]   Weak Pullback Attractors for Mean Random Dynamical Systems in Bochner Spaces [J].
Bixiang Wang .
Journal of Dynamics and Differential Equations, 2019, 31 :2177-2204
[3]  
Bixiang Wang.Dynamics of stochastic reaction–diffusion lattice systems driven by nonlinear noise[J].Journal of Mathematical Analysis and Applications,2019
[4]  
Bixiang Wang.Weak pullback attractors for stochastic Navier-Stokes equations with nonlinear diffusion terms[J].Proceedings of the American Mathematical Society,2018
[5]  
Benjamin Gess.Random attractors for singular stochastic evolution equations[J].Journal of Differential Equations,2013
[6]   Random Attractors for Degenerate Stochastic Partial Differential Equations [J].
Benjamin Gess .
Journal of Dynamics and Differential Equations, 2013, 25 :121-157
[7]  
Bixiang Wang.Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems[J].Journal of Differential Equations,2012
[8]  
M. J. GARRIDO-ATIENZA,A. OGROWSKY,B. SCHMALFUSS.RANDOM DIFFERENTIAL EQUATIONS WITH RANDOM DELAYS[J].Stochastics and Dynamics,2011
[9]   Ergodicity of the Infinite Dimensional Fractional Brownian Motion [J].
María J. Garrido-Atienza ;
Björn Schmalfuß .
Journal of Dynamics and Differential Equations, 2011, 23
[10]  
ASYMPTOTIC BEHAVIOR OF STOCHASTIC WAVE EQUATIONS WITH CRITICAL EXPONENTS ON ?3[J].Transactions of the American Mathematical Society,2011(7)
123