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19912026
most citedPeres-Horodecki separability criterion for continuous variable systems

2.2k citations

Showing 2012 · math.APShow all

5 papers · 2 filters

math.AP2012★ 47 cited

An approximate treatment of gravitational collapse

Yago Ascasibar, Rafael Granero-Belinchón, José Manuel Moreno

This work studies a simplified model of the gravitational instability of an initially homogeneous infinite medium, represented by $\TT^d$, based on the approximation that the mean…

math.AP2012★ 3 cited

Motion by Mixed Volume Preserving Curvature Functions Near Spheres

David Hartley

In this paper we investigate the flow of surfaces by a class of symmetric functions of the principal curvatures with a mixed volume constraint. We consider compact surfaces without…

math.AP2012

Existence of knotted vortex tubes in steady Euler flows

Alberto Enciso, Daniel Peralta-Salas

We prove the existence of knotted and linked thin vortex tubes for steady solutions to the incompressible Euler equation in R^3. More precisely, given a finite collection of (possi…

math.AP2012★ 24 cited

Finite time singularities for water waves with surface tension

Angel Castro, Diego Córdoba, Charles Fefferman +2

Here we consider the 2D free boundary incompressible Euler equation with surface tension. We prove that the surface tension does not prevent a finite time splash or splat singulari…

math.AP2012★ 99 cited

Breakdown of smoothness for the Muskat problem

Angel Castro, Diego Cordoba, Charles Fefferman +1

In this paper we show that there exist analytic initial data in the stable regime for the Muskat problem such that the solution turns to the unstable regime and later breaks down i…