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On the infinite dimension limit of invariant measures and solutions of Zeitlin's 2D Euler equations by Flandoli, Franco; Pappalettera, Umberto; Viviani, Milo is a scholarly article available to read on EtoBox.

What is On the infinite dimension limit of invariant measures and solutions of Zeitlin's 2D Euler equations about?

In this work 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 to Euler equations with marginals distributed as the enstrophy measure. The method relies on nontrivial computations on the structure constants of $\mathbb{S}^2$, that appear to be new. In the last section we discuss the problem of extending our results to Gibbsian measures associated with higher Casimirs.

Author

Flandoli, Franco; Pappalettera, Umberto; Viviani, Milo

Published

2022

Language

EN