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Динамические системы и уравнения с частными производными
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Kolmogorov theory of turbulence and its rigorous model, given by the Burgers equation S. B. Kuksin Institut de Mathématiques de Jussieu, Paris |
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Аннотация: 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. Язык доклада: английский Website: https://zoom.us/j/91608634426?pwd=NDlZZlVjY3dJZnR3UzE1SWttcitEdz09 |