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Bibliographic Details
Main Author: Kuksin, Sergei
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2310.10105
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Table of Contents:
  • 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.