The Hartree and Vlasov equations at positive density

DOI10.1080/03605302.2020.1803355zbMath1462.35398arXiv1910.09392OpenAlexW3085288819MaRDI QIDQ5854660

Julien Sabin, Mathieu Lewin

Publication date: 17 March 2021

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.09392

zbMATH Keywords

semiclassical analysispositive densityHartree equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Vlasov equations (35Q83) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

A new perspective on Wasserstein distances for kinetic problems ⋮ The Lieb–Thirring inequalities: Recent results and open problems ⋮ Stability of steady states for Hartree and Schrödinger equations for infinitely many particles ⋮ Effective dynamics of extended Fermi gases in the high-density regime ⋮ On the \(L^2\) rate of convergence in the limit from the Hartree to the Vlasov-Poisson equation

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