Kolmogorov's theory of turbulence and its rigorous 1d model
Abstract
This paper is a synopsis of the recent book A. Boritchev, S. Kuksin, One-Dimensional Turbulence and the Stochastic Burgers Equation, AMS Publications, 2021 (to appear). The book is dedicated to the stochastic Burgers equation as a model for 1d turbulence, and the paper discusses its content in relation to the Kolmogorov theory of turbulence.
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