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Remarks on 2D inverse cascade turbulence

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SRQW03 - Scaling limits & SPDEs: recent developments and future directions

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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