1 citations · 1 across the 6 of their papers we have counts for
6 papers
Magnetic relaxation for the MHD equations via the stable manifold method
Gennaro Ciampa, Renato Lucà
We prove that given any sufficiently small and regular solution of the stationary Euler equations there exists an infinite dimensional family of solutions of the non-re…
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…
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…
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 …
Pointwise convergence of the Klein-Gordon flow
Renato Lucà, Pablo Merino
We consider the PDEs version of the Carleson problem in the context of the cubic nonlinear Klein-Gordon equation. This means that we aim to establish the lowest regularity class fo…
Localization of Beltrami fields: global smooth solutions and vortex reconnection for the Navier-Stokes equations
Gennaro Ciampa, Renato Lucà
We introduce a class of divergence-free vector fields on obtained after a suitable localization of Beltrami fields. First, we use them as initial data to construct u…