Universal bounds for the Littlewood-Paley first-order moments of the 3D Navier-Stokes equations

DOI10.1007/s00220-010-1098-4zbMath1204.35128OpenAlexW1995060090MaRDI QIDQ609533

Felix Otto, Fabio Tozeto Ramos

Publication date: 1 December 2010

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-010-1098-4

zbMATH Keywords

Navier-Stokes equationsweak solutionsLittlewood-Paley decomposition

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Periodic solutions to PDEs (35B10) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45)

Related Items (6)

On energy cascades in the forced 3D Navier-Stokes equations ⋮ New Bounds for the Inhomogenous Burgers and the Kuramoto-Sivashinsky Equations ⋮ On the Littlewood-Paley spectrum for passive scalar transport equations ⋮ Laminar boundary layers in convective heat transport ⋮ On the Kolmogorov dissipation law in a damped Navier-Stokes equation ⋮ The Littlewood-Paley \(pth\)-order moments in three-dimensional MHD turbulence

Cites Work

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• Optimal bounds on the Kuramoto-Sivashinsky equation
• Bounds on moments of the energy spectrum for weak solutions of the three-dimensional Navier-Stokes equations
• The Littlewood-Paley spectrum in two-dimensional turbulence
• Euler Equations, Navier-Stokes Equations and Turbulence
• Bounds on energy flux for finite energy turbulence
• Exponential decay rate of the power spectrum for solutions of the Navier–Stokes equations
• Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet

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