A one dimensional analysis of turbulence and its intermittence for the d-dimensional stochastic Burgers equation

Details A one dimensional analysis of turbulence and its intermittence for the d-dimensional stochastic Burgers equation A one dimensional analysis of turbulence and its intermittence for the d-dimensional stochastic Burgers equation

2007-06-08

arxiv.org/abs/0706.1159v1

Mathematics

Probability

27 pages, 8 figures, to be published in Markov Processes and Related Fields

Scientific paper

The inviscid limit of the stochastic Burgers equation is discussed in terms of the level surfaces of the minimising Hamilton-Jacobi function, the classical mechanical caustic and the Maxwell set and their algebraic pre-images under the classical mechanical flow map. The problem is analysed in terms of a reduced (one dimensional) action function. We demonstrate that the geometry of the caustic, level surfaces and Maxwell set can change infinitely rapidly causing turbulent behaviour which is stochastic in nature. The intermittence of this turbulence is demonstrated in terms of the recurrence of two processes.

Affiliated with

Also associated with

No associations

Rating

A one dimensional analysis of turbulence and its intermittence for the d-dimensional stochastic Burgers equation 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 A one dimensional analysis of turbulence and its intermittence for the d-dimensional stochastic Burgers equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A one dimensional analysis of turbulence and its intermittence for the d-dimensional stochastic Burgers equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-652706