10 papers
Magnetic relaxation for the MHD equations via the stable manifold method
Gennaro Ciampa, Renato LucÃ
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…
On the rate of the vanishing viscosity approximation for Mean Field Games with nonlocal coupling
Gennaro Ciampa, Alessandro Goffi
We study quantitative convergence rates of the vanishing viscosity approximation of first-order time-dependent Mean Field Games with regularizing coupling acting in the Hamilton-Ja…
Large bulk viscosity limit for compressible MHD equations in critical Besov spaces
Gennaro Ciampa, Donatella Donatelli, Giada Pellecchia
We study the large bulk viscosity limit for the compressible magnetohydrodynamics (MHD) equations in two and three dimensions. For arbitrarily large initial data in critical Besov…
Accelerated and fast magnetic reconnection through enhanced resistive dissipation for MHD equations
Gennaro Ciampa, Renato LucÃ
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…
A priori error estimates for the -method for the flow of nonsmooth velocity fields
Gennaro Ciampa, Tommaso Cortopassi, Gianluca Crippa +2
Velocity fields with low regularity (below the Lipschitz threshold) naturally arise in many models from mathematical physics, such as the inhomogeneous incompressible Navier-Stokes…
A regularity result for the Fokker-Planck equation with non-smooth drift and diffusion
Paolo Bonicatto, Gennaro Ciampa, Gianluca Crippa
The goal of this paper is to study weak solutions of the Fokker-Planck equation. We first discuss existence and uniqueness of weak solutions in an irregular context, providing a un…