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hal-00021079v1  Journal articles
Claude BardosFrançois GolseA.D. GottliebN.J. Mauser. Accuracy of the time-dependent Hartree-Fock approximation for uncorrelated initial states
Journal of Statistical Physics, Springer Verlag, 2004, 3-4, pp.1037-1055
hal-00019814v1  Journal articles
R. AdamiClaude BardosFrançois GolseA. Teta. Towards a rigorous derivation of the cubic NLSE in dimension one
Asymptotic Analysis, IOS Press, 2004, 40-2, pp.93-108
hal-00019803v1  Journal articles
A. MahalovB. NicolaenkoClaude BardosFrançois Golse. Regularity of Euler equations for a class of three-dimensional initial data.
Progress in Nonlinear Differential Equations, 2005, Trends in partial differential equations of mathematical physics, 61, pp.161-185
hal-00113739v1  Journal articles
François GolseLaure Saint-Raymond. Hydrodynamic limits for the Boltzmann equation
Rivista di Matematica della Università di Parma, Istituto di Matematica, 2005, 7, pp.1-144
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hal-00454029v3  Journal articles
Emanuele CagliotiFrançois Golse. On the Boltzmann-Grad limit for the two dimensional periodic Lorentz gas
Journal of Statistical Physics, Springer Verlag, 2010, 141 (2), pp.264-317. ⟨10.1007/s10955-010-0046-1⟩
hal-00021085v1  Journal articles
B. FrançoisFrançois GolseC. Pallard. Nonresonant smoothing for coupled wave + transport equations and the Vlasov-Maxwell system
IMA Volumes in Mathematics and its Applications, 2004, 1, pp.1-23
hal-00021088v1  Journal articles
Claude BardosFrançois GolseA. GottliebN.J. Mauser. On the derivation of nonlinear Schrödinger and Vlasov equations
IMA Volumes in Mathematics and its Applications, 2004, 1, pp.1-23
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hal-00637344v1  Conference papers
François Golse. From the Boltzmann Equation to the Euler Equations in the Presence of Boundaries
ICMMES-2011 (International Conference for Mesoscopic Methods in Engineering and Science 2011), Jul 2011, Lyon, France. pp.815-830, ⟨10.1016/j.camwa.2012.02.009⟩
hal-00021089v1  Journal articles
François GolseLaure Saint-Raymond. The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels
Inventiones Mathematicae, Springer Verlag, 2004, 1, pp.81-161
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hal-01579874v1  Journal articles
Claude BardosFrançois GolseIván Moyano. LINEAR BOLTZMANN EQUATION AND FRACTIONAL DIFFUSION
Kinetic and Related Models , AIMS, 2018, 11 (4), pp.1011-1036. ⟨10.3934/krm.2018039⟩
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hal-00706180v3  Journal articles
Claude BardosFrançois GolsePeter MarkowichThierry Paul. Hamiltonian Evolution of Monokinetic Measures with Rough Momentum Profile
Archive for Rational Mechanics and Analysis, Springer Verlag, 2015, 217 (1), pp.71-111. ⟨10.1007/s00205-014-0829-7⟩
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hal-00390895v2  Book sections
François Golse. Recent Results on the Periodic Lorentz Gas
Xavier Cabré, Juan Soler. Nonlinear Partial Differential Equations, Birkhäuser, pp.39-99, 2012, Advanced Courses in Mathematics CRM Barcelona, 978-3-0348-0190-4. ⟨10.1007/978-3-0348-0191-1⟩
hal-00194844v1  Journal articles
Claude BardosB. DucometFrançois GolseA. GottliebN. Mauser. The TDHF approximation for {H}amiltonians with $m$-particle interaction potentials
Communications in Mathematical Sciences, International Press, 2007, pp.1-9
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hal-02405783v1  Journal articles
François GolseShi JinThierry Paul. THE RANDOM BATCH METHOD FOR N -BODY QUANTUM DYNAMICS
Journal of Computational Mathematics -International Edition-, Global Science Press, In press
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hal-02361050v2  Journal articles
François GolseThierry Paul. MEAN-FIELD AND CLASSICAL LIMIT FOR THE N-BODY QUANTUM DYNAMICS WITH COULOMB INTERACTION
Communications on Pure and Applied Mathematics, Wiley, In press
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hal-02214344v3  Journal articles
Emanuele CagliotiFrançois GolseThierry Paul. Quantum optimal transport is cheaper
Journal of Statistical Physics, Springer Verlag, 2020, 181 ((1),), pp.149-162
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hal-02567952v1  Journal articles
François GolseShi JinThierry Paul. On the Convergence of Time Splitting Methods for Quantum Dynamics in the Semiclassical Regime
Foundations of Computational Mathematics, Springer Verlag, In press, pp.DOI: 10.1007/s10208-020-09470-z
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hal-02619489v2  Journal articles
François GolseThierry Paul. Semiclassical Evolution With Low Regularity
Journal de Mathématiques Pures et Appliquées, Elsevier, 2021, 153
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hal-03136860v2  Journal articles
François GolseThierry Paul. Time dependent Quantum Perturbations uniform in the semiclassical regime
Indiana University Mathematics Journal, Indiana University Mathematics Journal, In press
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hal-00176202v2  Journal articles
Emanuele CagliotiFrançois Golse. The Boltzmann-Grad limit of the periodic Lorentz gas in two space dimensions
Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2008, 346 (7-8), pp.477-482. ⟨10.1016/j.crma.2008.01.016⟩
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hal-00134812v1  Journal articles
Laurent DesvillettesFrançois GolseValeria Ricci. The Mean-Field Limit for Solid Particles in a Navier-Stokes Flow
Journal of Statistical Physics, Springer Verlag, 2008, 131 (5), pp.941-967. ⟨10.1007/s10955-008-9521-3⟩
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hal-00505734v1  Journal articles
François Golse. From the Boltzmann equation to hydrodynamic equations in thin layers
Bollettino dell'Unione Matematica Italiana, Springer Verlag, 2011, 4, pp.163-186
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hal-01074071v1  Journal articles
Claude BardosFrançois GolsePeter MarkowichThierry Paul. On the Classical Limit of the Schrödinger Equation
Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2015, 35 (12), pp.5689-5709. ⟨10.3934/dcds.2015.35.5689⟩