Incompressible Turbulence as Nonlocal Field Theory

Details Incompressible Turbulence as Nonlocal Field Theory Incompressible Turbulence as Nonlocal Field Theory

2005-10-19

arxiv.org/abs/nlin/0510043v1

Pramana, volume 64, pp 333-341 (2005)

Nonlinear Sciences

Chaotic Dynamics

7 pages; Talk presented in Conference on "Perspectives in Nonlinear Dynamics (PNLD 2004)" held in Chennai, 2004

Scientific paper

10.1007/BF02704561

It is well known that incompressible turbulence is nonlocal in real space because sound speed is infinite in incompressible fluids. The equation in Fourier space indicates that it is nonlocal in Fourier space as well. Contrast this with Burgers equation which is local in real space. Note that the sound speed in Burgers equation is zero. In our presentation we will contrast these two equations using nonlocal field theory. Energy spectrum and renormalized parameters will be discussed.

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