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math.AP2024★ 3 cited
Two-dimensional fluids via matrix hydrodynamics
Klas Modin, Milo Viviani
Two-dimensional (2-D) incompressible, inviscid fluids produce fascinating patterns of swirling motion. How and why the patterns emerge are long-standing questions, first addressed…
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…