On Distribution of Energy and Vorticity for Solutions of 2D Navier-Stokes Equation with Small Viscosity - Archive ouverte HAL
Article Dans Une Revue Communications in Mathematical Physics Année : 2008

On Distribution of Energy and Vorticity for Solutions of 2D Navier-Stokes Equation with Small Viscosity

Sergei Kuksin
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Centre de Mathématiques Laurent Schwartz
Department of Mathematics

Résumé

We study distributions of some functionals of space-periodic solutions for the randomly perturbed 2D Navier-Stokes equation, and of their limits when the viscosity goes to zero. The results obtained give explicit information on distribution of the velocity field of space-periodic turbulent 2D flows.

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Equations aux dérivées partielles [math.AP]

Carole Juppin  : Connectez-vous pour contacter le contributeur

https://hal.science/hal-00832704

Soumis le : mardi 11 juin 2013-11:08:57

Dernière modification le : vendredi 22 novembre 2024-10:04:02

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Dates et versions

hal-00832704 , version 1 (11-06-2013)

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Sergei Kuksin. On Distribution of Energy and Vorticity for Solutions of 2D Navier-Stokes Equation with Small Viscosity. Communications in Mathematical Physics, 2008, 284 (2), pp.407-424. ⟨10.1007/s00220-008-0577-3⟩. ⟨hal-00832704⟩

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