Monokinetic solutions to a singular Vlasov equation from a semiclassical perspective

Author:

Carles Rémi1,Nouri Anne2

Affiliation:

1. CNRS, Institut Montpelliérain Alexander Grothendieck, UMR 5149, University Montpellier, CC51, 34095 Montpellier, France. E-mail: Remi.Carles@math.cnrs.fr

2. CNRS, Centrale Marseille, Institut de Mathématiques de Marseille, Aix-Marseille University, UMR 7373, 13453 Marseille, France. E-mail: anne.nouri@univ-amu.fr

Publisher

IOS Press

Subject

General Mathematics

Reference34 articles.

1. M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards Applied Mathematics Series, Vol. 55, U.S. Government Printing Office, Washington, D.C., 1964. For sale by the Superintendent of Documents.

2. WKB analysis for the Gross–Pitaevskii equation with non-trivial boundary conditions at infinity;Alazard;Ann. Inst. H. Poincaré Anal. Non Linéaire,2009

3. The Cauchy problem for the Vlasov–Dirac–Benney equation and related issues in fluid mechanics and semi-classical limits;Bardos;Kinet. Relat. Models,2013

4. Hamiltonian Structure, Fluid Representation and Stability for the Vlasov–Dirac–Benney Equation

5. Semi-classical limit of an infinite dimensional system of nonlinear Schrödinger equations;Bardos;Bull. Inst. Math. Acad. Sin. (N.S.),2016

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