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19922026
most citedObservation of Gravitational Waves from a Binary Black Hole Merger

14.2k citations

Showing 2012 · math.APShow all

9 papers · 2 filters

math.AP2012

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…

math.AP2012★ 1 cited

Regularity of weak solutions to rate-independent systems in one-dimension

Mach Nguyet Minh

We show that under some appropriate assumptions, every weak solution (e.g. energetic solution) to a given rate-independent system is of class SBV, or has finite jumps, or is even p…

math.AP2012★ 13 cited

A dyadic model on a tree

David Barbato, Luigi Amedeo Bianchi, Franco Flandoli +1

We study an infinite system of non-linear differential equations coupled in a tree-like structure. This system was previously introduced in the literature and it is the model from…

math.AP2012★ 2 cited

An elementary proof of uniqueness of the particle trajectories for solutions of a class of shear-thinning non-Newtonian 2D fluids

Luigi C. Berselli, Luca Bisconti

We prove some regularity results for a class of two dimensional non-Newtonian fluids. By applying results from [Dashti and Robinson, Nonlinearity, 22 (2009), 735-746] we can then s…

math.AP2012

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…

math.AP2012★ 1 cited

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…

math.AP2012★ 32 cited

The NLS ground states on product spaces

Susanna Terracini, Nikolay Tzvetkov, Nicola Visciglia

We study the nature of the Nonlinear Schrödinger equation ground states on the product spaces , where is a compact Riemannian manifold. We prove that for smal…

math.AP2012

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…

math.AP2012

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…