Bifractality of the Devil's staircase appearing in the Burgers equation with Brownian initial velocity

Details Bifractality of the Devil's staircase appearing in the Burgers equation with Brownian initial velocity Bifractality of the Devil's staircase appearing in the Burgers equation with Brownian initial velocity

1996-11-20

arxiv.org/abs/chao-dyn/9611011v1

Nonlinear Sciences

Chaotic Dynamics

12 pages, LaTeX

Scientific paper

10.1007/BF02732429

It is shown that the inverse Lagrangian map for the solution of the Burgers equation (in the inviscid limit) with Brownian initial velocity presents a bifractality (phase transition) similar to that of the Devil's staircase for the standard triadic Cantor set. Both heuristic and rigorous derivations are given. It is explained why artifacts can easily mask this phenomenon in numerical simulations.

Affiliated with

Also associated with

No associations

Rating

Bifractality of the Devil's staircase appearing in the Burgers equation with Brownian initial velocity 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 Bifractality of the Devil's staircase appearing in the Burgers equation with Brownian initial velocity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bifractality of the Devil's staircase appearing in the Burgers equation with Brownian initial velocity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-310310