Burgers Turbulence and Random Lagrangian Systems
Abstract
We consider a spatially periodic inviscid random forced Burgers equation in arbitrary dimension and the random timedependent Lagrangian system related to it. We construct a unique stationary distribution for ``viscosity'' solutions of the Burgers equation. We also show that with probability 1 there exists a unique minimizing trajectory for the random Lagrangian system which generates a nontrivial ergodic invariant measure for the nonrandom skewproduct extension of the Lagrangian system.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 2003
 DOI:
 10.1007/s0022000207486
 Bibcode:
 2003CMaPh.232..377I