Asymptotic behaviour of the three-dimensional \(\alpha\)-Navier-Stokes model with locally Lipschitz delay forcing terms

DOI10.1016/j.na.2008.10.048zbMath1238.35084OpenAlexW2077864739MaRDI QIDQ419752

A. M. Márquez-Durán, José Real, Tomás Caraballo Garrido

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.10.048

zbMATH Keywords

\(\alpha\)-Navier-Stokes models with delaysasymptotic stability of stationary solutionsexistence and uniqueness of variational solutionsexponential convergence of solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations (35Q30) Partial functional-differential equations (35R10) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (7)

Existence and decay of solutions in full space to Navier-Stokes equations with delays ⋮ Existence and decay of solutions to the dissipative quasi-geostrophic equation with delays ⋮ Approximate controllability for mild solution of time-fractional Navier-Stokes equations with delay ⋮ Stability results for 2D Navier-Stokes equations with unbounded delay ⋮ Existence of solutions for a class of Navier–Stokes equations with infinite delay ⋮ Global well-posedness of the three-dimensional viscous primitive equations with bounded delays ⋮ Analysis of a stochastic \(2D\)-Navier-Stokes model with infinite delay

Cites Work

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• The exponential behavior of Navier-Stokes equations with time delay external force
• Attractors for 2D-Navier-Stokes models with delays
• Invariant measures and statistical solutions of the globally modified Navier-Stokes equations
• Introduction to functional differential equations
• Attractors for the two-dimensional Navier--Stokes-\({\alpha}\) model: an \({\alpha}\)-dependence study
• Existence and stability of solutions to partial functional-differential equations with delay
• Theory and applications of partial functional differential equations
• Global well-posedness of weak solutions for the Lagrangian averaged Navier-Stokes equations on bounded domains.
• Existence and asymptotic behaviour for stochastic heat equations with multiplicative noise in materials with memory
• Asymptotic behaviour of the three-dimensional \(\alpha \)-Navier-Stokes model with delays
• The asymptotic behaviour of a stochastic 3D LANS-\(\alpha\) model
• 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
• Global well–posedness for the Lagrangian averaged Navier–Stokes (LANS–α) equations on bounded domains
• Navier-Stokes equations with delays
• The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory

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