# On the infinite dimension limit of invariant measures and solutions of Zeitlin’s 2D Euler equations – Milo Viviani (SNS)

#### Venue

SNS – Palazzo della Carovana.

#### Abstract

In this talk we consider a finite dimensional approximation for the 2D Euler equations on the sphere, proposed by V. Zeitlin, and show their convergence towards a solution of the Euler equations with marginals distributed as the enstrophy measure. The method relies on nontrivial computations on the structure constants of the Poisson algebra of functions on $S^2$, that appear to be new. Finally, we discuss the problem of extending our results to Gibbsian measures associated with higher Casimirs, via Zeitlin’s model.

Further information is available on the event page on the Indico platform.

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