Kolmogorov's theory of turbulence and its rigorous 1d model

报告题目：

报告人：

Professor Sergei B. Kuksin

报告人所在单位：

Paris Diderot University; Shandong University

报告日期：

2021-12-07

报告时间：

16:30 – 17:30

报告地点：

ZOOM Meeting ID: 878 1712 1063 Passcode: 345958

报告摘要：

In my lectures I will present the principles of Kolmogorov's theory of turbulence, known as the K41 theory, in relation to its one-dimensional version, dealing with turbulence in the fictitious one-dimensional fluid. The latter is modeled by the stochastic Burgers equation, and the corresponding 1d versions of the laws of K41 theory are rigorously proved, based on the properties of solutions for that equation.

The lectures are based on my recent joint book A.Boritchev, S.Kuksin One-Dimensional Turbulence and the Stochastic Burgers Equation, AMS 2021.

12.7-12.21.pdf

本年度学院报告总序号：

344

科学研究

Kolmogorov's theory of turbulence and its rigorous 1d model