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math.PR2022★ 16 cited
Second order perturbation theory of two-scale systems in fluid dynamics
Arnaud Debussche, Umberto Pappalettera
In the present paper we study slow-fast systems of coupled equations from fluid dynamics, where the fast component is perturbed by additive noise. We prove that, under a suitable l…
math.AP2022★ 2 cited
On the infinite dimension limit of invariant measures and solutions of Zeitlin's 2D Euler equations
Franco Flandoli, Umberto Pappalettera, Milo Viviani
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…