2D turbulence in physical scales of the Navier-Stokes equations

Details 2D turbulence in physical scales of the Navier-Stokes equations 2D turbulence in physical scales of the Navier-Stokes equations

2011-01-11

arxiv.org/abs/1101.2209v1

Mathematics

Analysis of PDEs

24 pages, 3 figures; submitted to Discrete Contin. Dyn. Syst

Scientific paper

Local analysis of the two dimensional Navier-Stokes equations is used to obtain estimates on the energy and enstrophy fluxes involving Taylor and Kraichnan length scales and the size of the domain. In the framework of zero driving force and non-increasing global energy, these bounds produce sufficient conditions for existence of the direct enstrophy and inverse energy cascades. Several manifestations of locality of the fluxes under these conditions are obtained. All the scales involved are actual physical scales in R^2 and no homogeneity assumptions are made.

Affiliated with

Also associated with

No associations

Rating

2D turbulence in physical scales of the Navier-Stokes equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with 2D turbulence in physical scales of the Navier-Stokes equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and 2D turbulence in physical scales of the Navier-Stokes equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-264054