PREPRINT
8F1EF561-6681-4BE7-A265-20CB54B49134

Incompressible Turbulence as Nonlocal Field Theory

Mahendra K. Verma
arXiv:nlin/0510043

Submitted on 19 October 2005

Abstract

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.

Preprint

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

Subjects: Nonlinear Sciences - Chaotic Dynamics; Astrophysics; Condensed Matter - Statistical Mechanics

URL: https://arxiv.org/abs/nlin/0510043