%0 Journal Article
%T Monokinetic solutions to a singular Vlasov equation from a semiclassical perspective
%+ Institut Montpelliérain Alexander Grothendieck (IMAG)
%+ Institut de Mathématiques de Marseille (I2M)
%A Carles, Rémi
%A Nouri, Anne
%< avec comité de lecture
%@ 0921-7134
%J Asymptotic Analysis
%I IOS Press
%V 102
%N 1-2
%P 99-117
%8 2017
%D 2017
%Z 1506.07339
%R 10.3233/ASY-171412
%Z Mathematics [math]/Analysis of PDEs [math.AP]
%Z Mathematics [math]/Mathematical Physics [math-ph]Journal articles
%X Solutions to a singular one-dimensional Vlasov equation are obtained as the semiclassical limit of the Wigner transform associated to a logarithmic Schrodinger equation. Two frameworks are considered, regarding in particular the initial position density: Gaussian initial density, or smooth initial density away from vacuum. For Gaussian initial densities, the analysis also yields global solutions to the isothermal Euler system that do not enter the frame of regular solutions to hyperbolic systems by P. D. Lax.
%G English
%2 https://hal.science/hal-01167342v2/document
%2 https://hal.science/hal-01167342v2/file/carles-nouri-121215.pdf
%L hal-01167342
%U https://hal.science/hal-01167342
%~ CNRS
%~ UNIV-AMU
%~ I3M_UMR5149
%~ EC-MARSEILLE
%~ I2M
%~ I2M-2014-
%~ IMAG-MONTPELLIER
%~ TDS-MACS
%~ MIPS
%~ UNIV-MONTPELLIER
%~ AMIDEX
%~ ANR
%~ UM-2015-2021
%~ TEST3-HALCNRS