François Golse
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French mathematician
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Mathematics
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(Suggest an Edit or Addition)According to Wikipedia, François Golse is a French mathematician. Golse was awarded a doctorate in 1986 at the Paris XIII University with thesis advisor Claude Bardos and thesis Contributions à l'étude des équations du transfert radiatif. In 1987 he became a scientist of CNRS at the École normale supérieure. In 1993 he became a professor at Pierre and Marie Curie University . He has been a professor at the École Polytechnique since 2006.
François Golse's Published Works
Published Works
- Fluid dynamic limits of kinetic equations. I. Formal derivations (1991) (485)
- Regularity of the moments of the solution of a Transport Equation (1988) (481)
- Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation (1993) (385)
- The Navier–Stokes limit of the Boltzmann equation for bounded collision kernels (2004) (266)
- Kinetic equations and asympotic theory (2000) (199)
- Weak Copling Limit of the N-Particle Schrödinger Equation (2000) (155)
- Rigorous Derivation of the Cubic NLS in Dimension One (2007) (149)
- A classification of well‐posed kinetic layer problems (1988) (137)
- The Noncommutative Residue for Manifolds with Boundary (1996) (136)
- The nonaccretive radiative transfer equations: Existence of solutions and Rosseland approximation (1988) (127)
- The mean-field limit for the dynamics of large particle systems (2003) (123)
- Mean field dynamics of fermions and the time-dependent Hartree-Fock equation (2002) (122)
- THE VLASOV-POISSON SYSTEM WITH STRONG MAGNETIC FIELD (1999) (113)
- Derivation of the Schrödinger–Poisson equation from the quantum N-body problem (2002) (110)
- On the Distribution of Free Path Lengths¶for the Periodic Lorentz Gas (1998) (105)
- The Convergence of Numerical Transfer Schemes in Diffusive Regimes I: Discrete-Ordinate Method (1999) (103)
- Stationary solutions of the linearized Boltzmann equation in a half-space (1989) (101)
- On the Mean Field and Classical Limits of Quantum Mechanics (2015) (99)
- On a boundary layer problem for the nonlinear Boltzmann equation (1988) (94)
- Classical Solutions and the Glassey-Strauss Theorem for the 3D Vlasov-Maxwell System (2003) (90)
- The Acoustic Limit for the Boltzmann Equation (2000) (88)
- The rosseland approximation for the radiative transfer equations (1987) (85)
- Stokes‐Fourier and acoustic limits for the Boltzmann equation: Convergence proofs (2002) (79)
- The Mean-Field Limit for Solid Particles in a Navier-Stokes Flow (2007) (73)
- THE VLASOV–POISSON SYSTEM WITH STRONG MAGNETIC FIELD IN QUASINEUTRAL REGIME (2003) (66)
- Chapter 3 - The Boltzmann Equation and Its Hydrodynamic Limits (2005) (63)
- A rarefied gas flow caused by a discontinuous wall temperature (2001) (60)
- On the Distribution of Free Path Lengths for the Periodic Lorentz Gas III (2000) (59)
- A Domain Decomposition Analysis for a Two-Scale Linear Transport Problem (2003) (57)
- Half-Space Problems for the Boltzmann Equation: A Survey (2006) (56)
- Homogenization of Transport Equations (2000) (55)
- Velocity averaging in for the transport equation (2002) (51)
- Generalized solutions of the radiative transfer equations in a singular case (1986) (51)
- Acoustic and stokes limits for the Boltzmann equation (1998) (48)
- Averaging regularity results for PDEs under transversality assumptions (1992) (48)
- Towards a rigorous derivation of the cubic NLSE in dimension one (2004) (46)
- Diffusion approximation and entropy-based moment closure for kinetic equations (2005) (45)
- Intrinsic microlocal analysis and inversion formulae for the heat equation on compact real-analytic riemannian manifolds (1996) (40)
- Entropy Methods for the Boltzmann Equation (2008) (40)
- Notes on the boundary conditions for fluid-dynamic equations on the interface of a gas and its condensed phase (2001) (38)
- A numerical method for computing asymptotic states and outgoing distributions for kinetic linear half-space problems (1995) (37)
- Nonresonant smoothing for coupled wave+ transport equations and the Vlasov-Maxwell system (2004) (33)
- From Kinetic To Macroscopic Models (1998) (33)
- A REMARK CONCERNING THE CHAPMAN-ENSKOG ASYMPTOTICS (1996) (33)
- Accuracy of the Time-Dependent Hartree–Fock Approximation for Uncorrelated Initial States (2003) (32)
- On classical solutions to the 3D relativistic Vlasov-Maxwell system: Glassey-Strauss' theorem revisited (2003) (31)
- Applications of the boltzmann equation within the context of upper atmosphere vehicle aerodynamics (1989) (31)
- Fluid Dynamic Limits of Discrete Velocity Kinetic Equations (1991) (31)
- Analytical study of transonic flows of a gas condensing onto its plane condensed phase on the basis of kinetic theory (1998) (30)
- Asymptotic theory of the Boltzmann system, for a steady flow of a slightly rarefied gas with a finite Mach number: General theory (2000) (29)
- On a model Boltzmann equation without angular cutoff (2000) (27)
- Anomalous diffusion limit for the Knudsen gas (1998) (25)
- A hydrodynamic model arising in the context of granular media (1999) (24)
- Relaxation of a Free-Molecular Gas to Equilibrium Caused by Interaction with Vessel Wall (2010) (24)
- The nonlinear diffusion limit for generalized Carleman models: the initial-boundary value problem (2007) (22)
- ANALYSIS OF THE BOUNDARY LAYER EQUATION IN THE KINETIC THEORY OF GASES (2008) (21)
- Half-space problem of the nonlinear Boltzmann equation for weak evaporation and condensation of a binary mixture of vapors (2007) (21)
- A NOTE ON THE PROPAGATION OF BOUNDARY INDUCED DISCONTINUITIES IN KINETIC THEORY (2001) (21)
- Knudsen layers from a computational viewpoint (1992) (20)
- Fluid Dynamic Limits of the Kinetic Theory of Gases (2014) (20)
- The periodic Lorentz gas in the Boltzmann-Grad limit (2006) (20)
- Hydrodynamic Limits (2005) (20)
- A quantitative compactness estimate for scalar conservation laws (2005) (19)
- The TDHF Approximation for Hamiltonians with $m$-particle Interaction Potentials (2007) (18)
- Numerical study of a domain decomposition method for a two-scale linear transport equation (2006) (17)
- SHOCK PROFILES FOR THE PERTHAME-TADMOR KINETIC MODEL (1998) (16)
- A mathematical theory of planar particle channeling in crystals (2000) (16)
- The Navier–Stokes limit for the Boltzmann equation (2001) (16)
- On the derivation of the Hartree equation from the N-body Schrödinger equation: Uniformity in the Planck constant (2016) (15)
- Entropy Methods for the Boltzmann Equation: Lectures from a Special Semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001 (2007) (15)
- A Mean-Field Limit of the Lohe Matrix Model and Emergent Dynamics (2018) (15)
- Remarks on the notion of mean free path for a periodic array of spherical obstacles (1997) (15)
- Diffusion approximation for billiards with totally accommodating scatterers (1997) (14)
- On the derivation of the Hartree equation in the mean field limit: Uniformity in the Planck constant (2016) (14)
- Mean‐Field and Classical Limit for the N‐Body Quantum Dynamics with Coulomb Interaction (2019) (13)
- Non blow-up of the 3D Euler equations for a class of three-dimensional initial data in cylindrical domains (2004) (13)
- Diffusion approximation of a Knudsen gas model: dependence of the diffusion constant upon the boundary condition (2002) (11)
- The averaging method for perturbations of mixing flows (1997) (11)
- Global Solutions of the Boltzmann Equation Over $${\mathbb{R}^D}$$RD Near Global Maxwellians with Small Mass (2014) (11)
- The Milne problem for the radiative transfer equations. (1986) (10)
- The quantum N-body problem in the mean-field and semiclassical regime (2018) (10)
- Particle transport in nonhomogeneous media (1991) (9)
- Diffusion approximation and hyperbolic automorphisms of the torus (1997) (9)
- From the Boltzmann equation to the Euler equations in the presence of boundaries (2011) (9)
- On the self-similar solutions of the broadwell model for a discrete velocity gas (1987) (8)
- ON THE STATISTICS OF FREE-PATH LENGTHS FOR THE PERIODIC LORENTZ GAS (2006) (8)
- LINEAR BOLTZMANN EQUATION AND FRACTIONAL DIFFUSION (2017) (8)
- Simulation of laser beam propagation with a paraxial model in a tilted frame (2008) (7)
- L'approximation centre-guide pour l'équation de Vlasov-Poisson 2D (1998) (7)
- On the Boundary Layer Equations with Phase Transition in the Kinetic Theory of Gases (2019) (7)
- The radiative transfer equations: Existence of solutions and diffusion approximation under accretivity assumptions — A survey (1987) (7)
- Applications of Connes' Geodesic Flow to Trace Formulas in Noncommutative Geometry (1998) (6)
- Regularity of Euler Equations for a Class of Three-Dimensional Initial Data (2005) (6)
- Macroscopic Limits of Kinetic Equations (1991) (5)
- Homogenization of the Linear Boltzmann Equation in a Domain with a Periodic Distribution of Holes (2009) (5)
- Boltzmann-Grad limit (2013) (5)
- Incompressible hydrodynamics as a limit of the Boltzmann equation (1992) (5)
- The Stokes–Fourier limit for the Boltzmann equation (2001) (5)
- Homogenization of transport problems and semigroups (2010) (5)
- Derivation of Hydrodynamic Limits from either the Liouville Equation or Kinetic Models : Study of an Example (Mathematical Analysis in Fluid and Gas Dynamics) (2000) (5)
- Hydrodynamic limits of Vlasov-Fokker-Planck equation for granular media (2004) (5)
- An infinitesimal trace formula for the Laplace operator on compact Riemann surfaces (2003) (4)
- A Compactness Result for Generalized Radon Transforms (1996) (4)
- NONLINEAR REGULARIZING EFFECT FOR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS (2010) (4)
- Steady flows of a rarefied gas around arbitrary obstacle distributions (1993) (4)
- On the slowing down of charged particles in a binary stochastic mixture (2008) (3)
- Quantization of probability distributions and gradient flows in space dimension 2 (2018) (3)
- Radiative Transfer Equations and Rosseland Approximation in Gray Matter (2008) (3)
- Stratified Radiative Transfer in a Fluid and Numerical Applications to Earth Science (2022) (3)
- Diffusion approximation and Arnold's “Cat Map” (1984) (2)
- On the derivation of nonlinear Schrödinger and Vlasov equations (2004) (2)
- From the N-Body Schrödinger Equation to the Vlasov Equation (2015) (2)
- A Formal Passage From a System of Boltzmann Equations for Mixtures Towards a Vlasov-Euler System of Compressible Fluids (2019) (2)
- THE ROSSELAND LIMIT FOR RADIATIVE TRANSFER IN GRAY MATTER (2008) (2)
- From the Boltzmann Equation to Hydrodynamic Equations in thin Layers (2011) (2)
- Quantum algorithms for uncertainty quantification: application to partial differential equations (2022) (2)
- Stratified Radiative Transfer for Multidimensional Fluids (2021) (2)
- Radiative transfer in a fluid (2021) (2)
- THE DIFFUSION APPROXIMATION FOR THE LINEAR BOLTZMANN EQUATION WITH VANISHING ABSORPTION (2012) (2)
- Nonlinear Regularizing Effect for Conservation Laws (2009) (2)
- Erratum: “A rarefied gas flow caused by a discontinuous wall temperature” [Phys. Fluids 13, 2645 (2001)] (2001) (1)
- On the Mean Field and Classical Limits of Quantum Mechanics (2016) (1)
- Paraxial Approximation in a Tilted Frame for Laser Wave Propagation (2003) (1)
- Homogenization and kinetic models in extended phase space (2012) (1)
- Non-blow-up of the 3D ideal magnetohydrodynamics equations for a class of three-dimensional initial data in cylindrical domains (2006) (1)
- Optimal transport pseudometrics for quantum and classical densities (2022) (1)
- ON THE AMBIPOLAR DIFFUSION AND OTHER ASYMPTOTIC LIMITS OF WEAKLY IONIZED PLASMA FLOWS (2006) (1)
- The Boltzmann Equation over {{\mathbb R}^{{\mathrm {D}}}}: Dispersion Versus Dissipation (2016) (1)
- From the kinetic theory of gases to models for aerosol flows (2020) (1)
- Incompressible Hydrodynamic Limits of the Boltzmann Equation : a Survey of Mathematical Results (1995) (0)
- Recent Results on the Periodic Lorentz Gas François Golse (2019) (0)
- Classification of well‐posed kinetic layer problems II: The index formula (1999) (0)
- Recent Results on the Periodic (2012) (0)
- Asymptotic expansions of Witten-Reshetikhin-Turaev invariants for some simple 3-manifolds 1 (2018) (0)
- On the Smoothing Properties of a ModelBoltzmann Equationwithout Grad ' s Cuto (1998) (0)
- Macroscopic limits of the kinetic equation (1991) (0)
- OPTIMAL REGULARIZING EFFECT FOR SCALAR LAWS (2012) (0)
- Quantization of Probability Densities: A Gradient Flow Approach (2016) (0)
- The Mean-Field Limit for a Regularized Vlasov-Maxwell Dynamics (2012) (0)
- Remarks on the Radiative Transfer Equations for Climatology (2021) (0)
- Partial Regularity in Time for the Landau Equation (with Coulomb Interaction) (2021) (0)
- New results in velocity averaging (2002) (0)
- Publisher Correction to: On the Boundary Layer Equations with Phase Transition in the Kinetic Theory of Gases (2021) (0)
- Billiards Systems and the Transport Equation (1994) (0)
- Radiative Transfer For Variable 3D Atmospheres (2022) (0)
- From the Kinetic Theory of Gases to Aerosol Flows (2018) (0)
- Quantitative observability for the Schrödinger and Heisenberg equations: An optimal transport approach (2022) (0)
- A Formal Passage From a System of Boltzmann Equations for Mixtures Towards a Vlasov-Euler System of Compressible Fluids (2019) (0)
- Empirical Measures and Quantum Mechanics: Applications to the Mean-Field Limit (2019) (0)
- Hamiltonian Evolution of Monokinetic Measures with Rough Momentum Profile (2014) (0)
- Nonresonant velocity averaging and the Vlasov-Maxwell system (2007) (0)
- Relating relative entropy, optimal transport and Fisher in-formation: a , (2020) (0)
- Diffusion approximation of a model Knudsen gas: dependence of the diffusion constant upon the boundary condition. (2001) (0)
- Mathematical Physics The Boltzmann-Grad limit of the periodic Lorentz gas in two space dimensions (2008) (0)
- Preface, Commun. Math. Sci., vol. 5, Supplement (2007) (2007) (0)
- The Schrödinger Equation in the Mean-Field and Semiclassical Regime (2016) (0)
- Publisher Correction to: On the Boundary Layer Equations with Phase Transition in the Kinetic Theory of Gases (2021) (0)
- The Half-Space Problem for the Boltzmann Equation with Phase Transition at the Boundary (2021) (0)
- On the Convergence of Time Splitting Methods for Quantum Dynamics in the Semiclassical Regime (2020) (0)
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