31 citations · 99 across the 23 of their papers we have counts for
24 papers
Conservation of the circulation for the Euler and Euler-Leray equations
Jean Ginibre, Martine Le Berre, Yves Pomeau
It is well-known that the circulation of the velocity field of a fluid along a closed material curve is conserved for any solution of the Euler equation. We offer a slightly more e…
Ultimate Statistical Physics: fluorescence of a single atom
Yves Pomeau, Martine Le Berre, Jean Ginibre
We discuss the statistics of emission of photons by a single atom or ion illuminated by a laser beam at the frequency of quasi-resonance between two energy levels, a situation that…
Modified wave operators without loss of regularity for some long range Hartree equations. II
J. Ginibre, G. Velo
We continue the study of the theory of scattering for some long range Hartree equations with potential |x|^-gamma, performed in a previous paper, denoted as I, in the range 1/2 < g…
Modified wave operators without loss of regularity for some long range Hartree equations. I
J. Ginibre, G. Velo
We reconsider the theory of scattering for some long range Hartree equations with potential |x|^-gamma with 1/2 < gamma < 1. More precisely we study the local Cauchy problem with i…
Long range scattering for the Wave-Schrödinger system revisited
Jean Ginibre, Giorgio Velo
We reconsider the theory of scattering for the Wave-Schrödinger system and more precisely the local Cauchy problem with infinite initial time, which is the main step in the constru…
Quadratic Morawetz inequalities and asymptotic completeness in the energy space for nonlinear Schr"odinger and Hartree equations
J. Ginibre, G. Velo
Recently several authors have developed multilinear and in particular quadratic extensions of the classical Morawetz inequality. Those extensions provide (among other results) an e…