STOCHASTIC 1D BURGERS EQUATION AS A MODEL FORHYDRODYNAMICAL TURBULENCE

被引：0
|
作者：
Kuksin, Sergei [1 ,2 ,3 ,4 ,5 ]
机构：
[1] Univ Paris Cite, F-75013 Paris, France
[2] Sorbonne Univ, CNRS, IMJ PRG, F-75013 Paris, France
[3] Peoples Friendship Univ Russia, Moscow, Russia
[4] Russian Acad Sci, Steklov Math Inst, Moscow, Russia
[5] Shandong Univ, Inst Financial Studies, Jinan, Peoples R China
来源：
MOSCOW MATHEMATICAL JOURNAL | 2024年 / 24卷 / 04期
关键词：
Turbulence; Burgers equation; K41; theory; inner scale; structure function; inviscid limit;
D O I：
10.17323/1609-4514-2024-24-4-603-640
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：603 / 640
页数：38
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