Asymptotic behaviour of solutions to stochastic three-dimensional globally modified Navier–Stokes equations

DOI10.1080/17442508.2022.2147005zbMath1518.35540OpenAlexW4310273091MaRDI QIDQ6109139

Unnamed Author, Cung The Anh, Nguyen Van Thanh

Publication date: 27 July 2023

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442508.2022.2147005

zbMATH Keywords

stabilizationexponential stabilitystationary solutionlinear feedback controlItô noisestochastic globally modified Navier-Stokes equations

Mathematics Subject Classification ID

Optimal feedback synthesis (49N35) Feedback control (93B52) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Stochastic 3D globally modified Navier-Stokes equations: weak attractors, invariant measures and large deviations ⋮ Unnamed Item

Cites Work

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• On the time discretization for the globally modified three dimensional Navier-Stokes equations
• Pullback attractors for globally modified Navier-Stokes equations with infinite delays
• Invariant measures and statistical solutions of the globally modified Navier-Stokes equations
• Equivalence of invariant measures and stationary statistical solutions for the autonomous globally modified Navier-Stokes equations
• The exponential behaviour and stabilizability of stochastic 2D-Navier-Stokes equations
• The stochastic 3D globally modified Navier-Stokes equations: existence, uniqueness and asymptotic behavior
• Pullback attractors and invariant measures for the non-autonomous globally modified Navier-Stokes equations
• Asymptotic regularity of trajectory attractor and trajectory statistical solution for the 3D globally modified Navier-Stokes equations
• Exponential stability of non-linear stochastic evolution equations
• Asymptotic behavior of solutions for a three dimensional system of globally modified Navier-Stokes equations with a locally Lipschitz delay term
• Invariant measures for the 3D globally modified Navier-Stokes equations with unbounded variable delays
• Pullback \(V\)-attractors of the 3-dimensional globally modified Navier-Stokes equations
• Internal stabilizability of the Navier-Stokes equations
• On stabilization of partial differential equations by noise
• On the existence and uniqueness of solutions to stochastic three-dimensional Lagrangian averaged Navier–Stokes equations
• Unique Strong Solutions and V -Attractors of a Three Dimensional System of Globally Modified Navier-Stokes Equations
• The Three-Dimensional Globally Modified Navier–Stokes Equations: Recent Developments
• The Uniqueness of Weak Solutions of the Globally Modified Navier-Stokes Equations
• Note on the internal stabilization of stochastic parabolic equations with linearly multiplicative Gaussian noise

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