The exponential behaviour and stabilizability of stochastic 2D-Navier-Stokes equations

DOI10.1006/jdeq.2001.4037zbMath0990.35138OpenAlexW2068545698MaRDI QIDQ1598394

Takeshi Taniguchi, José Antonio Langa, Tomás Caraballo Garrido

Publication date: 25 August 2002

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2001.4037

zbMATH Keywords

exponential stabilitystabilizabilityrandom disturbance

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of global stochastic flow and attractors for Navier-Stokes equations
• Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
• Infinite-dimensional dynamical systems in mechanics and physics
• Measure attractors for stochastic Navier-Stokes equations
• Pathwise global attractors for stationary random dynamical systems
• Stochastic equations in Hilbert space with application to Navier-Stokes equations in any dimension
• Attractors for random dynamical systems
• On exponential stability criteria of stochastic partial differential equations
• Martingale and stationary solutions for stochastic Navier-Stokes equations
• COMPARISON OF THE LONG-TIME BEHAVIOR OF LINEAR ITO AND STRATONOVICH PARTIAL DIFFERENTIAL EQUATIONS
• Stabilization by Noise Revisited
• Asymptotic stability theorems of semilinear stochastic evolution equations in hilbert spaces
• Stochastic Navier-Stokes equations
• Stochastic Equations in Infinite Dimensions