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math.AP2026
Smooth autonomous fast dynamo action on the three-torus
Michele Coti Zelati, Massimo Sorella, David Villringer
We construct a nonempty -open family of smooth, autonomous, divergence-free velocity fields on that generate fast dynamos. The proof proceeds by first establish…
math.AP2026
A fast dynamo on the three-torus
Michele Coti Zelati, Massimo Sorella, David Villringer
We study the kinematic dynamo equation on the three-torus and provide a rigorous proof of fast dynamo action for a time-periodic, divergence-free, Lipschitz velocity field. Our con…
math.NA2026
Convergence of a least-squares splitting method for the Monge-Ampère equation
Anna Peruso, Massimo Sorella
We study the theoretical convergence of the nonlinear least-squares splitting method for the Monge-Ampère equation introduced in [1] in which each iteration decouples the pointwise…