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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⟩
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hal-00767588v2  Journal articles
Fabrice BethuelPhilippe GravejatDidier Smets. Asymptotic stability in the energy space for dark solitons of the Gross-Pitaevskii equation
Annales Scientifiques de l'École Normale Supérieure, Société mathématique de France, 2015, 48 (6), pp.1327-1381
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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⟩
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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-00674093v3  Journal articles
Etienne BernardFrancesco Salvarani. On the convergence to equilibrium for degenerate transport problems
Archive for Rational Mechanics and Analysis, Springer Verlag, 2013, 208 (3), pp.977-984. ⟨10.1007/s00205-012-0608-2⟩
hal-01826927v1  Journal articles
Thierry CazenaveYvan MartelLifeng Zhao. Finite-time blowup for a Schr\"odinger equation with nonlinear source term
Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2019, 39 (2), pp.1171-1183. ⟨10.3934/dcds.2019050⟩
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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⟩
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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
hal-02166159v1  Journal articles
Thierry CazenaveZheng HanYvan Martel. Blowup on an arbitrary compact set for a Sch\"odinger equation with nonlinear source term
Journal of Dynamics and Differential Equations, Springer Verlag, 2021, 33 (2), pp.941-960. ⟨10.1007/s10884-020-09841-8⟩
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hal-00481593v3  Journal articles
Christophe CheverryIsabelle GallagherThierry PaulLaure Saint-Raymond. Semiclassical and spectral analysis of oceanic waves
Duke Mathematical Journal, Duke University Press, 2012, 161 (5), pp.845-892
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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