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

14.2k citations

Showing 2009 · math.APShow all

9 papers · 2 filters

math.AP2009★ 1 cited

Convergence of approximate deconvolution models to the filtered Navier-Stokes Equations

Luigi C. Berselli, Roger Lewandowski

We consider a 3D Approximate Deconvolution Model (ADM) which belongs to the class of Large Eddy Simulation (LES) models. We work with periodic boundary conditions and the filter th…

math.AP2009★ 10 cited

Hyperbolic-parabolic singular perturbation for Kirchhoff equations with weak dissipation

Marina Ghisi, Massimo Gobbino

We consider Kirchhoff equations with a small parameter epsilon in front of the second-order time-derivative, and a dissipative term whose coefficient may tend to 0 as t -> + infini…

math.AP2009

On the evolution of subcritical regions for the Perona-Malik equation

Marina Ghisi, Massimo Gobbino

The Perona-Malik equation is a celebrated example of forward-backward parabolic equation. The forward behavior takes place in the so-called subcritical region, in which the gradien…

math.AP2009★ 2 cited

An example of global classical solution for the Perona-Malik equation

Marina Ghisi, Massimo Gobbino

We consider the Cauchy problem for the Perona-Malik equation in an open subset of R^{n}, with Neumann boundary conditions. It is well known that in the one-dimensional case this pr…

math.AP2009

Mildly degenerate Kirchhoff equations with weak dissipation: global existence and time decay

Marina Ghisi, Massimo Gobbino

We consider the hyperbolic-parabolic singular perturbation problem for a degenerate quasilinear Kirchhoff equation with weak dissipation. This means that the coefficient of the dis…

math.AP2009

Nonexistence of horizontal Sobolev surfaces in the Heisenberg group

Valentino Magnani

Involutivity is a well known necessary condition for integrability of smooth tangent distributions. We show that this condition is still necessary for integrability with Sobolev su…

math.AP2009★ 7 cited

Endpoint Strichartz estimates for the magnetic Schrodinger equation

Piero D'Ancona, Luca Fanelli, Luis Vega +1

We prove Strichartz estimates for the Schroedinger equation with an electromagnetic potential, in dimension . The decay and regularity assumptions on the potentials are alm…

math.AP2009

Existence and multiplicity of stable bound states for the nonlinear Klein-Gordon equation

Claudio Bonanno

We are interested in the problem of existence of soliton-like solutions for the nonlinear Klein-Gordon equation. In particular we study some necessary and sufficient conditions on…

math.AP2009

Hyperbolic--parabolic singular perturbation for nondegenerate Kirchhoff equations with critical weak dissipation

Marina Ghisi, Massimo Gobbino

We consider the hyperbolic-parabolic singular perturbation problem for a nondegenerate quasilinear equation of Kirchhoff type with weak dissipation. This means that the dissipative…