Title of article :
Some specific mathematical constraints on 2D turbulence
Author/Authors :
R. Dascaliuc، نويسنده , , R. and Foias، نويسنده , , C. and Jolly، نويسنده , , M.S.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2008
Pages :
10
From page :
3020
To page :
3029
Abstract :
We derive upper and lower bounds for ensemble averages of energy, enstrophy, and palinstrophy for the 2D periodic Navier–Stokes equations. This is carried out both in the general case, and in the case where the energy power law for fully developed turbulence holds. In the turbulent case, the bounds are sharp, up to a logarithm, and provide a new lower bound on the Landau–Lifschitz degrees of freedom. We also prove two properties of the inertial term under the turbulence assumption. One is that as the Grashof number is increased, the ensemble average of this term approaches the force. The other is that an estimate of it via the Ladyzhenskaya inequality is sharp on a considerable portion of the global attractor.
Keywords :
Turbulence , Enstrophy cascade , Navier–Stokes equations
Journal title :
Physica D Nonlinear Phenomena
Serial Year :
2008
Journal title :
Physica D Nonlinear Phenomena
Record number :
1728747
Link To Document :
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