Abstract
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 language | English |
|---|---|
| Journal | HP Laboratories Technical Report |
| Volume | BRIMS |
| Issue number | 25 |
| Publication status | Published - 18 Dec 2000 |
Keywords
- Hamilton-jacobi equation
- Random
- Random burgers equation
- Uniqueness of global minimizers