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5 papers · 2 filters
On the existence of hylomorphic vortices in the nonlinear Klein-Gordon equation
Jacopo Bellazzini, Vieri Benci, Claudio Bonanno +1
In this paper we prove the existence of vortices, namely standing waves with non null angular momentum, for the nonlinear Klein-Gordon equation in dimension . We show with…
Soliton dynamics of NLS with singular potentials
Claudio Bonanno, Marco Ghimenti, Marco Squassina
We investigate the validity of a soliton dynamics behavior in the semi-relativistic limit for the nonlinear Schrödinger equation in , in presence of a singular exte…
Convergence of approximate deconvolution models to the mean Magnetohydrodynamics Equations: Analysis of two models
Luigi C. Berselli, Davide Catania, Roger Lewandowski
We consider two Large Eddy Simulation (LES) models for the approximation of large scales of the equations of Magnetohydrodynamics (MHD in the sequel). We study two -models, whic…
A symmetry result for the Ornstein-Uhlenbeck operator
A. Cesaroni, M. Novaga, E. Valdinoci
In 1978 E. De Giorgi formulated a conjecture concerning the one-dimensional symmetry of bounded solutions to the elliptic equation Δu=F'(u), which are monotone in some direction. I…
On the parabolic regime of a hyperbolic equation with weak dissipation: the coercive case
Marina Ghisi, Massimo Gobbino
We consider a family of Kirchhoff equations with a small parameter epsilon in front of the second-order time-derivative, and a dissipation term with a coefficient which tends to 0…