5 papers · 1 filter
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…
A limsup fast dynamo on
Massimo Sorella, David Villringer
We construct a time-dependent, incompressible, and uniformly-in-time Lipschitz continuous velocity field on that produces exponential growth of the magnetic energy a…
Trace and Observability Inequalities for Laplace Eigenfunctions on the Torus
Nicolas Burq, Pierre Germain, Massimo Sorella +1
We investigate trace and observability inequalities for Laplace eigenfunctions on the d-dimensional torus, with respect to arbitrary Borel measures . Specifically, we character…
Alpha-unstable flows and the fast dynamo problem
Michele Coti Zelati, Massimo Sorella, David Villringer
We construct a time-independent, incompressible, and Lipschitz-continuous velocity field in that generates a fast kinematic dynamo - an instability characterized by…
The helicity distribution for the 3D incompressible Euler equations
Marco Inversi, Massimo Sorella
This paper is concerned with the helicity associated to solutions of the 3D incompressible Euler equations. We show that under mild conditions on the regularity of the velocity fie…