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

Sergei B. Kuksin

doi:10.1007/s00220-008-0577-3

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

Sergei B. Kuksin

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

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. © 2008 Springer-Verlag.

Original language	English
Pages (from-to)	407-424
Number of pages	18
Journal	Communications in Mathematical Physics
Volume	284
Issue number	2
DOIs	https://doi.org/10.1007/s00220-008-0577-3
Publication status	Published - Dec 2008

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

abstract = "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. {\textcopyright} 2008 Springer-Verlag.",

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AB - 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. © 2008 Springer-Verlag.

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DO - 10.1007/s00220-008-0577-3

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SP - 407

EP - 424

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 2

ER -

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

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