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

14 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.",

author = "Kuksin, \{Sergei B.\}",

year = "2008",

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doi = "10.1007/s00220-008-0577-3",

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T1 - On distribution of energy and vorticity for solutions of 2D Navier-Stokes equation with small viscosity

AU - Kuksin, Sergei B.

PY - 2008/12

Y1 - 2008/12

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/54049096656

U2 - 10.1007/s00220-008-0577-3

DO - 10.1007/s00220-008-0577-3

M3 - Article

SN - 0010-3616

VL - 284

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

Abstract

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