On distribution of energy and vorticity for solutions of 2D Navier-Stokes equation with small viscosity

DOI10.1007/s00220-008-0577-3zbMath1168.35034OpenAlexW2035147182MaRDI QIDQ1006296

Sergej B. Kuksin

Publication date: 20 March 2009

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

Full work available at URL: https://doi.org/10.1007/s00220-008-0577-3

zbMATH Keywords

Navier-Stokes equationturbulent flowsdistribution of energy

Mathematics Subject Classification ID

Statistical turbulence modeling (76F55) Periodic solutions to PDEs (35B10) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (10)

Large deviation principles of 2D stochastic Navier–Stokes equations with Lévy noises ⋮ Lagrangian chaos and scalar advection in stochastic fluid mechanics ⋮ Invariant measure and long time behavior of regular solutions of the Benjamin-Ono equation ⋮ Ergodicity and Local Limits for Stochastic Local and Nonlocal $p$-Laplace Equations ⋮ Local times for solutions of the complex Ginzburg-Landau equation and the inviscid limit ⋮ Zero temperature limit for directed polymers and inviscid limit for stationary solutions of stochastic Burgers equation ⋮ Invariant measure and large time dynamics of the cubic Klein-Gordon equation in \(3D\) ⋮ On 2D Eulerian limits à la Kuksin ⋮ Unnamed Item ⋮ On inviscid limits for the stochastic Navier-Stokes equations and related models

Cites Work

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• Eulerian limit for 2D Navier-Stokes equation and damped/driven KdV equation as its model
• Khasminskii-Whitham averaging for randomly perturbed KdV equation
• Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing
• Remarks on the balance relations for the two-dimensional Navier-Stokes equation with random forcing
• ON ESTIMATES OF THE MAXIMUM OF A SOLUTION OF A PARABOLIC EQUATION AND ESTIMATES OF THE DISTRIBUTION OF A SEMIMARTINGALE
• Randomly forced CGL equation: stationary measures and the inviscid limit
• Averaging Principle for Stochastic Perturbations of Multifrequency Systems

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