Stochastic 1d Burgers equation as a model for hydrodynamical turbulence
Mathematical Physics
2024-10-28 v2 math.MP
Abstract
This work is a review with proofs of a group of results on the stochastic Burgers equation with small viscosity, obtained during the last two decades. These results jointly show that the equation makes a surprisingly good model of hydrodynamical turbulence. The model provides natural and rigorously justified analogies of a number of key predictions of the theory of turbulence, including the main assertions of the Kolmogorov approach to turbulence, known as the K41 theory.
Keywords
Cite
@article{arxiv.2310.10105,
title = {Stochastic 1d Burgers equation as a model for hydrodynamical turbulence},
author = {Sergei Kuksin},
journal= {arXiv preprint arXiv:2310.10105},
year = {2024}
}