3 papers
math.AP2025
Accelerated and fast magnetic reconnection through enhanced resistive dissipation for MHD equations
Gennaro Ciampa, Renato Lucà
We consider the phenomenon of magnetic reconnection, namely a change in the topology of magnetic lines, for sufficiently regular solutions of the three-dimensional periodic magneto…
math.AP2025
On low regularity well-posedness of the binormal flow
Valeria Banica, Renato Lucà, Nikolay Tzvetkov +1
We focus on a class of solutions of the binormal flow, model of the evolution of vortex filaments, that generate several corner singularities in finite time. This phenomenon has be…
math.AP2025
On the topology of the magnetic lines of large solutions to the Magnetohydrodynamic equations in
Renato Lucà, Claudia Peña
The purpose of this article is twofold: first, we introduce a new class of global strong solutions to the magnetohydrodynamic system in with initial data …