Large-domain stability of random attractors for stochastic \(g\)-Navier-Stokes equations with additive noise

DOI10.1186/s13660-020-02459-wzbMath1503.37080OpenAlexW3044209951MaRDI QIDQ2069526

Dongmei Xu, Fu-zhi Li, Lian-bing She

Publication date: 20 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-020-02459-w

zbMATH Keywords

upper semi-continuityexpanding domainsenergy equation methodequi-asymptotic compactnessexpanding cocyclesstochastic \(g\)-Navier-Stokes

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

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Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotically autonomous multivalued Cauchy problems with spatially variable exponents
• Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems
• Pullback attractor of 2D non-autonomous \(g\)-Navier-Stokes equations on some bounded domains
• The global attractor of g-Navier-Stokes equations with linear dampness on \(R^2\)
• Finite fractal dimension of pullback attractors for non-autonomous 2D Navier--Stokes equations in some unbounded domains
• Pullback attractors for 2D Navier-Stokes equations on time-varying domains
• Dynamics of the \(g\)-Navier--Stokes equations
• Existence of solutions of the \(g\)-Navier-Stokes equations
• Convergences of asymptotically autonomous pullback attractors towards semigroup attractors
• Limiting behavior of dynamics for stochastic reaction-diffusion equations with additive noise on thin domains
• Limiting dynamics for non-autonomous stochastic retarded reaction-diffusion equations on thin domains
• Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains
• Asymptotic compactness and absorbing sets for 2D stochastic Navier-Stokes equations on some unbounded domains
• Random attractors for the 3d stochastic navier-stokes equation with multiplicative white noise
• The global attractor for the 2D Navier-Stokes flow on some unbounded domains
• Asymptotic behavior of stochastic g-Navier-Stokes equations on a sequence of expanding domains
• Tail convergences of pullback attractors for asymptotically converging multi-valued dynamical systems
• Navier-Stokes Equations on Thin 3D Domains. I: Global Attractors and Global Regularity of Solutions
• Some results on the Navier-Stokes equations in thin 3D domains