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20022009
most citedTravelling waves for the Gross-Pitaevskii equation II

133 citations

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math.DG2007★ 2 cited

The hyperbolic mean curvature flow

Philippe G. LeFloch, Knut Smoczyk

We introduce a geometric evolution equation of hyperbolic type, which governs the evolution of a hypersurface moving in the direction of its mean curvature vector. The flow stems f…

math.AP2007★ 133 cited

Travelling waves for the Gross-Pitaevskii equation II

Fabrice Bethuel, Philippe Gravejat, Jean-Claude Saut

The purpose of this paper is to provide a rigorous mathematical proof of the existence of travelling wave solutions to the Gross-Pitaevskii equation in dimensions two and three. Ou…

cond-mat.other2007★ 31 cited

Nonclassical rotational inertia for a supersolid under rotation

Amandine Aftalion, Xavier Blanc, Robert L. Jerrard

As proposed by Leggett [4], the supersolidity of a crystal is characterized by the Non Classical Rotational Inertia (NCRI) property. Using a model of quantum crystal introduced by…

math.AP2007★ 24 cited

Symmetries and global solvability of the isothermal gas dynamics equations

Philippe G. LeFloch, Vladimir Shelukhin

We study the Cauchy problem associated with the system of two conservation laws arising in isothermal gas dynamics, in which the pressure and the density are related by the -law…

math.AP2007

Entropy solutions of the Euler equations for isothermal relativistic fluids

Philippe G. LeFloch, Mitsuru Yamazaki

We investigate the initial-value problem for the relativistic Euler equations governing isothermal perfect fluid flows, and generalize an approach introduced by LeFloch and Shelukh…