c) Space Homogeneous Boltzmann & Landau Equations



133 R. Alexandre, C. Villani: "On the Boltzmann Equation for long-range interactions",
preprint, 2000.
ps (0.4 MB)
zip (0.2 MB)
99 F. Bouchut, L. Desvillettes: "A proof of the smoothing properties of the positive part of Boltzmann's kernel",
1999.
ps (1.3 MB)
zip (0.5 MB)
204 C. Buet, S. Cordier: "Numerical analysis of the isotropic Fokker-Planck-Landau equation",
2001.
ps (1.3 MB)
zip (0.6 MB)
334 C. Buet, S. Cordier, P. Degond: "On regularized Boltzmann operators",
Computer and Mathematics with applications, 35, 55-74, 1998.
ps (0.3 MB)
zip (0.1 MB)
310 E.A. Carlen, M.C. Carvalho, M. Loss: "Determination of the Spectral Gap for the Kac's Master Equation and Related Stochastic Evolutions",
submitted to Acta Mathematica, 2001.
ps (0.6 MB)
zip (0.2 MB)
309 E.A. Carlen, M.C. Carvalho, M. Loss: "Many-Body Aspects of Approach to Equilibrium",
Equations aux Derivées Partielles (La Chapelle sur Erdre, 2000), Exp. No.XXI, 12 pp., Univ. Nantes, Nantes, 2000.
ps (0.2 MB)
zip (0.1 MB)
328 S. Cordier, B. Lucquin-Desreux, S. Mancini: "Focalization: A numerical test for smoothing effects of collision operators",
2002.
ps (0.2 MB)
zip (0.1 MB)
200 L. Desvillettes: "Boltzmann's Kernel and the Spatially Homogeneous Boltzmann Equation",
2001.
ps (0.2 MB)
zip (0.1 MB)
35 L. Desvillettes, C. Villani: "On the spatially homogeneous Landau Equation for hard potentials
Part I: Existence, uniqueness and smoothness",
1999.
ps (0.5 MB)
zip (0.2 MB)
36 L. Desvillettes, C. Villani: "On the spatially homogeneous Landau Equation for hard potentials
Part II: H-Theorem and Applications",
1999.
ps (0.2 MB)
zip (0.1 MB)
284 Xuguang Lu, B. Wennberg: "Solutions with increasing energy for the spatially homogeneous Boltzmann equation",
2001.
ps (0.2 MB)
zip (0.1 MB)
81 L. Pareschi, G. Russo: "Asymptotic Preserving Monte Carlo Methods for the Boltzmann Equation",
Transp. Theo. Stat. Phys., 29(3-5), 415-430, 2000.
ps (0.3 MB)
zip (0.1 MB)
 80  L. Pareschi, G. Russo:  "On the stability of spectral methods for the homogeneous Boltzmann equation",
Transp. Theo. Stat. Phys., 29(3-5), 431-447, 2000.
 ps (0.4 MB)
zip (0.1 MB)
93 L. Pareschi, G. Toscani, C. Villani: "Spectral Methods for the non Cut-Off Boltzmann Equation and Numerical Grazing Collision Limit",
to appear in Numer. Math., 2002.
ps (1.3 MB)
zip (0.7 MB)
283 L. Pareschi, B. Wennberg: "A recursive Monte Carlo method for the Boltzmann equation in the Maxwellian case",
Monte Carlo Methods and Applications, 7(3-4), 349-357, 2001.
ps (0.2 MB)
zip (0.1 MB)
63 A. Pulvirenti, G. Toscani: "On the grazing collision limit for the spatially homogeneous Boltzmann equation",
Rendiconti Circolo Mat. Palermo Suppl., 57, 405-412, 1998.
ps (0.2 MB)
zip (0.1 MB)
347 C. Villani: "A review of mathematical topics in collisional kinetic theory",
prepared for publication in "Handbook of Fluid Mechanics", S. Friedlander and D. Serre (Eds.), 2002.
ps (1.5 MB)
zip (0.5 MB)
91 C. Villani: "On the Trend to Equilirium for Solutions of the Boltzmann Equation: Quantitative Versions of Boltzmann's H-Theorem",
1999.
ps (1.4 MB)
zip (0. MB)
14 B. Wennberg: "An Example of Non-uniqueness for Solutions to the Homogeneous Boltzmann Equation",
accepted for publication in J. Stat. Phys., 1999.
ps (0.3 MB)
zip (0.1 MB)