output
19962026
most citedThe hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations

1k citations

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Showing 2007Show all

33 papers · 1 filter

math.AP2007

Short Pulses Approximations in Dispersive Media

Mathieu Colin, David Lannes

We derive various approximations for the solutions of nonlinear hyperbolic systems with fastly oscillating initial data. We first provide error estimates for the so-called slowly v…

math.AP2007★ 1 cited

Asymptotic Models for Internal Waves

Jerry L. Bona, David Lannes, Jean-Claude Saut

We derived here in a systematic way, and for a large class of scaling regimes, asymptotic models for the propagation of internal waves at the interface between two layers of immisc…

math.NT2007★ 1 cited

Plongements l-adiques et l-nombres de Weil

Jean-François Jaulent

We define l-adic analogs of classical Weil numbers in connexion both with complex or l-adic imbeddings of number fields and real or l-adic absolute values. As an application we giv…

math.NT2007★ 4 cited

Note sur la conjecture de Leopoldt

Jean-François Jaulent

We prove that number fields with arbitrary degree but weak ramification satisfy the Leopoldt conjecture on the l-adic rank of the group of units

math.NT2007★ 4 cited

Majoration du nombre de zéros d'une fonction méromorphe en dehors d'une droite verticale et applications

Oswaldo Velásquez Castañón

We study the distribution of the zeros of functions of the form , where is a meromorphic function, real on the real line, a real number. One of ou…

quant-ph2007★ 244 cited

Multidimensional reconciliation for continuous-variable quantum key distribution

Anthony Leverrier, Romain Alléaume, Joseph Boutros +2

We propose a method for extracting an errorless secret key in a continuous-variable quantum key distribution protocol, which is based on Gaussian modulation of coherent states and…