On the \(L^2\) rate of convergence in the limit from the Hartree to the Vlasov-Poisson equation

DOI10.5802/jep.230OpenAlexW4362696230MaRDI QIDQ2701379

Laurent Lafleche, Jacky Jia Wei Chong, Chiara Saffirio

Publication date: 28 April 2023

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.11485

zbMATH Keywords

semiclassical limitCoulomb potentialVlasov equationHartree equationgravitational potential.

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Vlasov equations (35Q83)

Related Items (3)

Propagation of Moments for Large Data and Semiclassical Limit to the Relativistic Vlasov Equation ⋮ On quantum Sobolev inequalities ⋮ Effective dynamics of extended Fermi gases in the high-density regime

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