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Remarks on 2D inverse cascade turbulence

Presented by: 
Franco Flandoli Scuola Normale Superiore di Pisa
Date: 
Thursday 13th December 2018 - 13:30 to 14:30
Venue: 
INI Seminar Room 1
Abstract: 
Recently the interest in certain invariant measures of 2D Euler equations was renewed, motivated for instance by questions of existence for almost every initial condition, similarly to the case of dispersive equations where probability on initial conditions allowed very succesful progresses.
Obviusly invariant measures of 2D Euler equations are primarily of interest for turbulence but those known are not realistic from several viewpoints, beside some element of great interest.
We discuss this issue and show modifications, unfortunately mostly heuristic, that would give much better results for turbulence.

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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons