Burgers turbulence and dynamical systems

R. Iturriaga, K. Khanin

Research output: Contribution to journalLiterature reviewpeer-review


We discuss a dynamical system approach to a problem of Burgers turbulence. It is shown that there exists a unique stationary distribution for solutions to spatially periodic inviscid random forced Burgers equation in arbitrary dimension. The construction is based on analysis of minimizing orbits for time-dependent random Lagrangians on a d-dimensional torus. We also discuss how dynamical properties of minimizing trajectories lead to quantitative predictions for physically important universal critical exponents.

Original languageEnglish
JournalHP Laboratories Technical Report
Issue number25
Publication statusPublished - 18 Dec 2000


  • Hamilton-jacobi equation
  • Random
  • Random burgers equation
  • Uniqueness of global minimizers


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