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On the Mean Field and Classical Limits of Quantum Mechanics

Communications in mathematical physics, 2016-04, Vol.343 (1), p.165-205

2016

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Rigorous Derivation of the Cubic NLS in Dimension One

Journal of statistical physics, 2007-06, Vol.127 (6), p.1193-1220

2007

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From Particle Systems to Partial Differential Equations: International Conference, Particle Systems and PDEs VI, VII and VIII, 2017-2019

1st Edition 2021, 2021

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From the Boltzmann equation to the Euler equations in the presence of boundaries

Computers & Mathematics with Applications, 2013-03, Vol.65 (6), p.815-830

Golse, François

2013

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On the Boltzmann-Grad Limit for the Two Dimensional Periodic Lorentz Gas

Journal of statistical physics, 2010, Vol.141 (2), p.264-317

2010

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The Navier–Stokes limit of the Boltzmann equation for bounded collision kernels

Inventiones mathematicae, 2004-01, Vol.155 (1), p.81-161

2004

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Validité de la théorie cinétique des gaz : au-delà de l'équation de Boltzmann [d'après T. Bodineau, I. Gallagher, L. Saint-Raymond et S. Simonella

Astérisque, 2024-01

GOLSE, François

2024

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The quantum N-body problem in the mean-field and semiclassical regime

Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, 2018-04, Vol.376 (2118), p.20170229-20170229

Golse, François

2018

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Wave packets and the quadratic Monge–Kantorovich distance in quantum mechanics

Comptes rendus. Mathématique, 2018-02, Vol.356 (2), p.177-197

2018

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Empirical Measures and Quantum Mechanics: Applications to the Mean-Field Limit

Communications in mathematical physics, 2019-08, Vol.369 (3), p.1021-1053

2019

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Optimal transport pseudometrics for quantum and classical densities

Journal of functional analysis, 2022-05, Vol.282 (9), p.109417, Article 109417

2022

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On the Convergence of Time Splitting Methods for Quantum Dynamics in the Semiclassical Regime

Foundations of computational mathematics, 2021-06, Vol.21 (3), p.613-647

2021

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Stratified Radiative Transfer in a Fluid and Numerical Applications to Earth Science

SIAM journal on numerical analysis, 2022-10, Vol.60 (5), p.2963-3000

2022

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Semiclassical evolution with low regularity

Journal de mathématiques pures et appliquées, 2021-07, Vol.151, p.257-311

2021

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The Physisorbate-Layer Problem Arising in Kinetic Theory of Gas–Surface Interaction

Journal of statistical physics, 2024-04, Vol.191 (5), Article 53

2024

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A Duality-Based Proof of the Triangle Inequality for the Wasserstein Distances

La matematica, 2024-01, Vol.3 (1), p.196-210

Golse, François

2024

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The quantum N-body problem in the mean-field and semiclassical regime

Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, 2018-04, Vol.376 (2118), p.1-12

Golse, François

2018

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Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation

Annali della Scuola normale superiore di Pisa, Classe di scienze, 2019-01, p.253-295

2019

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Mean‐Field and Classical Limit for the N‐Body Quantum Dynamics with Coulomb Interaction

Communications on pure and applied mathematics, 2022-06, Vol.75 (6), p.1332-1376

2022

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On the derivation of the Hartree equation from the N-body Schrödinger equation: Uniformity in the Planck constant

Journal of functional analysis, 2018-10, Vol.275 (7), p.1603-1649

2018

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From Particle Systems to Partial Differential Equations: International Conference, Particle Systems and PDEs VI, VII and VIII, 2017-2019

2021

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The Boltzmann-Grad limit for the Lorentz gas with a Poisson distribution of obstacles

Kinetic & related models, 2022, Vol.15 (3), p.517

Golse, François

2022

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From the kinetic theory of gases to models for aerosol flows

Fluid dynamics research, 2020-10, Vol.52 (5), p.51401

Golse, François

2020

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Pickl’s proof of the quantum mean-field limit and quantum Klimontovich solutions

Letters in mathematical physics, 2024-04, Vol.114 (2), Article 51

2024

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Stratified radiative transfer for multidimensional fluids

Comptes rendus. Mecanique, 2022-12, Vol.350 (S1), p.1-15

2022

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On the Mean Field and Classical Limits of Quantum Mechanics

Rigorous Derivation of the Cubic NLS in Dimension One

From Particle Systems to Partial Differential Equations: International Conference, Particle Systems and PDEs VI, VII and VIII, 2017-2019

From the Boltzmann equation to the Euler equations in the presence of boundaries

On the Boltzmann-Grad Limit for the Two Dimensional Periodic Lorentz Gas

The Navier–Stokes limit of the Boltzmann equation for bounded collision kernels

Validité de la théorie cinétique des gaz : au-delà de l'équation de Boltzmann [d'après T. Bodineau, I. Gallagher, L. Saint-Raymond et S. Simonella

The quantum N-body problem in the mean-field and semiclassical regime

Wave packets and the quadratic Monge–Kantorovich distance in quantum mechanics

Empirical Measures and Quantum Mechanics: Applications to the Mean-Field Limit

Optimal transport pseudometrics for quantum and classical densities

On the Convergence of Time Splitting Methods for Quantum Dynamics in the Semiclassical Regime

Stratified Radiative Transfer in a Fluid and Numerical Applications to Earth Science

Semiclassical evolution with low regularity

The Physisorbate-Layer Problem Arising in Kinetic Theory of Gas–Surface Interaction

A Duality-Based Proof of the Triangle Inequality for the Wasserstein Distances

The quantum N-body problem in the mean-field and semiclassical regime

Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation

Mean‐Field and Classical Limit for the N‐Body Quantum Dynamics with Coulomb Interaction

On the derivation of the Hartree equation from the N-body Schrödinger equation: Uniformity in the Planck constant

From Particle Systems to Partial Differential Equations: International Conference, Particle Systems and PDEs VI, VII and VIII, 2017-2019

The Boltzmann-Grad limit for the Lorentz gas with a Poisson distribution of obstacles

From the kinetic theory of gases to models for aerosol flows

Pickl’s proof of the quantum mean-field limit and quantum Klimontovich solutions

Stratified radiative transfer for multidimensional fluids

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