Asymptotic Stability for the 3D Navier–Stokes Equations

DOI10.1081/PDE-200037770zbMath1142.35548MaRDI QIDQ4678926

Yong Zhou

Publication date: 23 May 2005

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsasymptotic stabilityStokes operator

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Asymptotic stability in control theory (93D20) Navier-Stokes equations (35Q30) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (18)

Global stability of large solutions for the Navier-Stokes equations with Navier boundary conditions ⋮ Asymptotic behavior of weak solutions to the generalized nonlinear partial differential equation model ⋮ The optimal upper and lower bounds of convergence rates for the 3D Navier-Stokes equations under large initial perturbation ⋮ Asymptotic profile of solutions to the two-dimensional dissipative quasi-geostrophic equation ⋮ \(L^{2}\) stability for solutions of subcritical quasi-geostrophic equation with large perturbations ⋮ Asymptotic behavior of strong solutions to the 3D Navier-Stokes equations with a nonlinear damping term ⋮ Unnamed Item ⋮ Optimal convergence rates for solutions of the monopolar non-Newtonian flows ⋮ Decay of solutions for the 3D Navier-Stokes equations with damping ⋮ The asymptotic behavior of solutions to three-dimensional Navier-Stokes equations with nonlinear damping ⋮ Long-time behaviors for the Navier-Stokes equations under large initial perturbation ⋮ The exponential behavior and stabilizability of the stochastic 3D Navier–Stokes equations with damping ⋮ Global large solutions to the 3-D generalized incompressible Navier-Stokes equations ⋮ Uniform stability for the 3D magneto-hydrodynamics equations ⋮ Global regularity and stability of solutions to the 3D double-diffusive convection system with Navier boundary conditions ⋮ Stability analysis of the supercritical surface quasi-geostrophic equation ⋮ Global stability of solutions with large initial conditions for the Navier-Stokes equations with damping ⋮ Stability behaviors of Leray weak solutions to the three-dimensional Navier-Stokes equations

Cites Work

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• On the interior regularity of weak solutions of the Navier-Stokes equations
• Weak solutions of Navier-Stokes equations
• \(L^ p\)-stability for the strong solutions of the Navier-Stokes equations in the whole space
• \(L^ 2\)-decay for Navier-Stokes flows in unbounded domains, with application to exterior stationary flows
• Partial regularity of solutions to the Navier-Stokes equations
• Global stability of large solutions to the 3D Navier-Stokes equations
• Global strong solution and its decay properties for the Navier-Stokes equations in three dimensional domains with non-compact boundaries
• Asymptotic stability of large solutions with large perturbation to the Navier-Stokes equations
• UNIQUENESS OF MILD SOLUTIONS OF THE NAVIER-STOKES SYSTEM IN LN
• Partial regularity of suitable weak solutions of the navier-stokes equations
• Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet

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