Selected papers
A. Velocity Averaging
B. Hydrodynamic Limits
- The
incompressible Navier-Stokes limit of the Boltzmann equation for hard cutoff potentials, with L. Saint-Raymond (J. Math. Pures Appl. 91 (2009), 508-552)
- The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels, with L. Saint-Raymond (Invent. Math. 155 (2004), 81-161)
- Stokes-Fourier and Acoustic Limits of the Boltzmann Equation: Convergence Proofs, with D. Levermore (Comm. on Pure and
Appl. Math. LV (2002), 336-393)
- The Acoustic Limit for the Boltzmann Equation, with C. Bardos, D. Levermore (Arch. Rational Mech. Anal. 153 (2000), 177-204)
- Fluid Dynamic Limits of Kinetic Equations II: Convergence Proofs for the Boltzmann Equation, with C. Bardos, D. Levermore (Comm. on Pure and Appl. Math. XLVI (1993), 667-753)
- Fluid Dynamic Limits of Kinetic Equations I, with C. Bardos, D. Levermore (J. Stat. Phys. 63 (1991), 323-344)
C. Boundary Layers
D. Lorentz Gas
- Homogenization of the linear Boltzmann equation in a domain with a periodic distribution of holes, with E. Bernard and E. Caglioti (SIAM J. Math. Anal. 42 (2010), 2082-2113)
- On the Boltzmann-Grad limit for the two dimensional periodic Lorentz gas, with E. Caglioti (J. Stat. Phys. 141 (2010), 264-317)
- The
Boltzmann-Grad limit of the periodic Lorentz gas in two space
dimensions, with E. Caglioti (C.R. Acad. Sci. Paris, Sér. I 346 (2008),
477-482)
- On the Periodic Lorentz Gas and the Lorentz Kinetic Equation (Ann. Fac. Sci. Toulouse XVII (2008, 735-749)
- On the Distribution of Free Path Lengths for the Periodic Lorentz Gas III, with E. Caglioti (Commun. Math. Phys. 236 (2003), 199-221)
- On
the Distribution of Free Path Lengths for the Periodic Lorentz Gas II,
with B. Wennberg (ESAIM M2AN 34 (2000), 1151-1163)
- On
the Distribution of Free Path Lengths for the Periodic Lorentz Gas, with J. Bourgain and B. Wennberg (Commun. Math. Phys. 190 (1998), 491-508)
- Steady flows of a rarefied gas around arbitrary obstacle distributions, with K. Aoki, C. Bardos, M. Kogan and Y. Sone (Eur. J. Mech./B Fluids 12 (1993), 565-577)
E. Mean Field Limits
- Rigorous Derivation of the Cubic NLS in Dimension One, with R. Adami and S. Teta (J. Stat. Phys. 127 (2007), 1193-1220)
- Accuracy of the Time-Dependent Hartree-Fock Approximation for Uncorrelated Initial States, with C. Bardos, A. Gottlieb, N. Mauser (J. Stat. Phys. 115 (2004), 1037-1055)
- Derivation of the Schrödinger-Poisson equation from the quantum N-body problem, with C. Bardos, L. Erdös, N. Mauser, H.T. Yau (C.R. Acad. Sci. Paris Sér. I 334 (2002), 515-520)
- Mean field dynamics of fermions and the time-dependent Hartree-Fock equations, with C. Bardos, A. Gottlieb, N. Mauser (J. Math. Pures et Appl. 82 (2003), 665-683)
F. Diffusion Approximation
- A domain decomposition analysis for a two-scale linear transport problem, with S. Jin and D. Levermore (ESAIM M2AN 37 (2003), 869-892)
- The convergence of numerical transfer schemes in diffusive regimes I: discrete-ordinate method,
with S. Jin and D. Levermore (SIAM J. Numer. Anal. 36 (1999), 1333-1369)
- Diffusion approximation and hyperbolic automorphisms of the torus, with C. Bardos and J.-F. Colonna (Phys. D 104 (1997), 32-60)
- Diffusion Approximation for Billiards with Totally Accomodating Scatterers, with C. Bardos and L. Dumas (J. Stat. Phys. 86 (1997), 351-375)
- The Nonaccretive Radiative Transfer Equations: Existence of Solutions and Rosseland Approximation, with C. Bardos, B. Perthame, R. Sentis (J. Func. Anal. 77 (1988), 434-460)
G. Vlasov Equations