Asymptotic Theory for the Probability Density Functions in Burgers Turbulence

Details Asymptotic Theory for the Probability Density Functions in Burgers Turbulence Asymptotic Theory for the Probability Density Functions in Burgers Turbulence

1999-01-08

arxiv.org/abs/chao-dyn/9901006v1

Nonlinear Sciences

Chaotic Dynamics

Revtex (4 pages)

Scientific paper

10.1103/PhysRevLett.83.2572

A rigorous study is carried out for the randomly forced Burgers equation in the inviscid limit. No closure approximations are made. Instead the probability density functions of velocity and velocity gradient are related to the statistics of quantities defined along the shocks. This method allows one to compute the anomalies, as well as asymptotics for the structure functions and the probability density functions. It is shown that the left tail for the probability density function of the velocity gradient has to decay faster than $|\xi|^{-3}$. A further argument confirms the prediction of E et al., Phys. Rev. Lett. {\bf 78}, 1904 (1997), that it should decay as $|\xi|^{-7/2}$.

Affiliated with

Also associated with

No associations

Rating

Asymptotic Theory for the Probability Density Functions in Burgers Turbulence 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 Asymptotic Theory for the Probability Density Functions in Burgers Turbulence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic Theory for the Probability Density Functions in Burgers Turbulence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-622089