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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-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-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-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-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⟩
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hal-00512869v1  Conference papers
François Golse. From the Kinetic Theory of Gases to Continuum Mechanics
Harold Grad Lecture; 27th International Symposium on Rarefied Gas Dynamics, Jul 2010, Pacific Grove, CA, United States. pp.15-27, ⟨10.1063/1.3562621⟩
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hal-00472237v1  Journal articles
Etienne BernardFrançois GolseFrancesco Salvarani. Homogenization of transport problems and semigroups
Mathematical Methods in the Applied Sciences, Wiley, 2010, 33 (10), pp.1228-1234. ⟨10.1002/mma.1319⟩
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hal-00472351v1  Conference papers
François Golse. Nonlinear regularizing effect for hyperbolic partial differential equations
XVIth International Congress on Mathematical Physics, Aug 2009, Prague, Czech Republic. pp.433-437
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hal-00472426v1  Conference papers
François Golse. Nonlinear Regularizing Effect for Conservation Laws
12th International Conference on Hyperbolic Problems: Theory, Numerics and Applications, Jun 2008, College Park, Maryland, United States. pp.73-92
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hal-00543138v1  Journal articles
François Golse. Homogenization and kinetic models in extended phase space
Riv. Math. Univ. Parma, 2012, 3 (1), pp.71-89
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hal-00559136v1  Journal articles
Claude BardosFrançois GolseLionel Paillard. The Incompressible Euler Limit of the Boltzmann Equation with Accommodation Boundary Condition
Communications in Mathematical Sciences, International Press, 2012, 10 (1), pp.159-190
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hal-00139624v1  Book sections
François GolseAlex MahalovBasil Nicolaenko. Bursting Dynamics of the 3D Euler Equations in Cylindrical Domains
C. Bardos, A. Fursikov. Instability in Models Connected with Fluid Flows I, Springer Verlag, pp.301-338, 2008, International Mathematical Series, vol. 6
hal-00767589v1  Conference papers
Francesco SalvaraniFrançois Golse. Radiative transfer equations and Rosseland approximation in gray matter
14th Conference on Waves And Stability In Continuous Media, Jun 2007, Baia Samuele, Sicily, Italy. pp.321-326, ⟨10.1142/9789812772350_0045⟩
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hal-00138843v1  Journal articles
François Golse. On the Periodic Lorentz Gas and the Lorentz Kinetic Equation
Annales de la Faculté des Sciences de Toulouse. Mathématiques., Université Paul Sabatier _ Cellule Mathdoc 2008, 17 (4), pp.735-749
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hal-00587592v1  Journal articles
François Golse. Analysis of the boundary layer equation in the kinetic theory of gases
Bulletin of the Institute of Mathematics, Academia Sinica (New Series), 2008, 3 (1), pp.211-242
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hal-00545569v2  Journal articles
François Golse. The Mean-Field Limit for a Regularized Vlasov-Maxwell Dynamics
Communications in Mathematical Physics, Springer Verlag, 2012, 310 (no. 3), pp.789-816. ⟨10.1007/s00220-011-1377-8⟩
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hal-00397349v3  Journal articles
Etienne BernardEmanuele CagliotiFrançois Golse. Homogenization of the linear Boltzmann equation in a domain with a periodic distribution of holes
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2010, 42 (5), pp.2082-2113