Kolmogorov theory of turbulence and its rigorous model, given by the Burgers equation

Abstract: I will present three main laws from the Kolmogorov theory of turbulence ("the K41 model"), discuss their versions for one-dimensional fluid and will show that the latter may be rigorously justified for the 1d fluid, described by the Burgers equation, via a qualitative analysis of the dynamical system which the equation defines in Sobolev spaces. The talk is based on a MS of my joint book with Alex Boritchev.

mathematical physicsanalysis of PDEsdynamical systems

Audience: researchers in the topic

Dynamical systems and PDEs

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