Article Dans Une Revue Asymptotic Analysis Année : 2017

Monokinetic solutions to a singular Vlasov equation from a semiclassical perspective

Résumé

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.

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Dates et versions

hal-01167342 , version 1 (24-06-2015)
hal-01167342 , version 2 (13-12-2015)

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Rémi Carles, Anne Nouri. Monokinetic solutions to a singular Vlasov equation from a semiclassical perspective. Asymptotic Analysis, 2017, 102 (1-2), pp.99-117. ⟨10.3233/ASY-171412⟩. ⟨hal-01167342v2⟩
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