From the Hartree dynamics to the Vlasov equation

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

From the Hartree dynamics to the Vlasov equation. / Benedikter, Niels Patriz; Porta, Marcello; Saffirio, Chiara ; Schlein, Benjamin.

In: Archive for Rational Mechanics and Analysis, Vol. 221, No. 1, 2016, p. 273–334.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Benedikter, NP, Porta, M, Saffirio, C & Schlein, B 2016, 'From the Hartree dynamics to the Vlasov equation', Archive for Rational Mechanics and Analysis, vol. 221, no. 1, pp. 273–334. https://doi.org/10.1007/s00205-015-0961-z

APA

Benedikter, N. P., Porta, M., Saffirio, C., & Schlein, B. (2016). From the Hartree dynamics to the Vlasov equation. Archive for Rational Mechanics and Analysis, 221(1), 273–334. https://doi.org/10.1007/s00205-015-0961-z

Vancouver

Benedikter NP, Porta M, Saffirio C, Schlein B. From the Hartree dynamics to the Vlasov equation. Archive for Rational Mechanics and Analysis. 2016;221(1):273–334. https://doi.org/10.1007/s00205-015-0961-z

Author

Benedikter, Niels Patriz ; Porta, Marcello ; Saffirio, Chiara ; Schlein, Benjamin. / From the Hartree dynamics to the Vlasov equation. In: Archive for Rational Mechanics and Analysis. 2016 ; Vol. 221, No. 1. pp. 273–334.

Bibtex

@article{46ec969dc0e346e4833d92d4e4276883,
title = "From the Hartree dynamics to the Vlasov equation",
abstract = "We consider the evolution of quasi-free states describing N fermions in the mean field limit, as governed by the nonlinear Hartree equation. In the limit of large N, we study the convergence towards the classical Vlasov equation. For a class of regular interaction potentials, we establish precise bounds on the 0rate of convergence.",
author = "Benedikter, {Niels Patriz} and Marcello Porta and Chiara Saffirio and Benjamin Schlein",
year = "2016",
doi = "10.1007/s00205-015-0961-z",
language = "English",
volume = "221",
pages = "273–334",
journal = "Archive for Rational Mechanics and Analysis",
issn = "0003-9527",
publisher = "Springer",
number = "1",

}

RIS

TY - JOUR

T1 - From the Hartree dynamics to the Vlasov equation

AU - Benedikter, Niels Patriz

AU - Porta, Marcello

AU - Saffirio, Chiara

AU - Schlein, Benjamin

PY - 2016

Y1 - 2016

N2 - We consider the evolution of quasi-free states describing N fermions in the mean field limit, as governed by the nonlinear Hartree equation. In the limit of large N, we study the convergence towards the classical Vlasov equation. For a class of regular interaction potentials, we establish precise bounds on the 0rate of convergence.

AB - We consider the evolution of quasi-free states describing N fermions in the mean field limit, as governed by the nonlinear Hartree equation. In the limit of large N, we study the convergence towards the classical Vlasov equation. For a class of regular interaction potentials, we establish precise bounds on the 0rate of convergence.

U2 - 10.1007/s00205-015-0961-z

DO - 10.1007/s00205-015-0961-z

M3 - Journal article

VL - 221

SP - 273

EP - 334

JO - Archive for Rational Mechanics and Analysis

JF - Archive for Rational Mechanics and Analysis

SN - 0003-9527

IS - 1

ER -

ID: 148641948