From the N-Body Schrödinger Equation to the Vlasov Equation - École polytechnique
Communication Dans Un Congrès Année : 2017

From the N-Body Schrödinger Equation to the Vlasov Equation

François Golse
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Centre de Mathématiques Laurent Schwartz

Résumé

This paper describes a method for obtaining an estimate of the convergence rate for the joint mean-field and semiclassical limit of the N-particle Schrödinger equation leading to the Vlasov equation. The interaction force is assumed to be Lipschitz continuous. This is an account of a recent work in collaboration with T. Paul [Arch. Ration. Mech. Anal. 223 (2017), 57-94].

Domaines

Equations aux dérivées partielles [math.AP]

François Golse  : Connectez-vous pour contacter le contributeur

https://polytechnique.hal.science/hal-01721122

Soumis le : jeudi 1 mars 2018-17:21:33

Dernière modification le : vendredi 22 novembre 2024-10:04:02

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Dates et versions

hal-01721122 , version 1 (01-03-2018)

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Citer

François Golse. From the N-Body Schrödinger Equation to the Vlasov Equation. From Particle Systems to Partial Differential Equations, Dec 2015, Braga, Portugal. pp.199-219, ⟨10.1007/978-3-319-66839-0_10⟩. ⟨hal-01721122⟩

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