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.

引用

页码：603 / 640

页数：38

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