Free Access
Issue
ESAIM: M2AN
Volume 32, Number 6, 1998
Page(s) 763 - 772
DOI https://doi.org/10.1051/m2an/1998320607631
Published online 27 January 2017
  1. A. A. ARSEN'EV and O. E. BURYAK, " On the connection between a solution of the Boltzmann equation and a solution of the Landau-Fokker-Planck equation". Math. USSR Sbornik, 69 (2), 465-478 (1991). [MR: 1055522] [Zbl: 0724.35090]
  2. E. A. CARLEN, E. GABETTA, G. TOSCANI, " Propagation of smoothness and the rate of exponential convergence to equilibrium for a spatially homogeneous Maxwellian gas", to appear on Comm. Math. Phys. (1997). [MR: 1669689] [Zbl: 0927.76088]
  3. C. CERCIGNANI, The Boltzmann equation and its applications. Springer, New York (1988). [MR: 1313028] [Zbl: 0646.76001]
  4. P. DEGOND and B. LUCQUIN-DESREUX, " The Fokker-Planck asymptotics of the Boltzmann collision operator in the Coulomb case", Math. Mod. Meth. in appl. Sci., 2 (2), 167-182 (1992). [MR: 1167768] [Zbl: 0755.35091]
  5. L. DESVILLETTES, " On asymptotics of the Boltzmann equation when the collisions become grazing", Transp. theory and stat. phys., 21 (3), 259-276 (1992). [MR: 1165528] [Zbl: 0769.76059]
  6. L. DESVILLETTES, " About the regularizing properties of the non-cut-off Kac equation", Comm. Math. Phys., 168 (2), 417-440 (1995). [MR: 1324404] [Zbl: 0827.76081]
  7. E. GABETTA, L. PARESCHI, " About the non cut-off Kac equation: Uniqueness and asymptotic behaviour", Comm. Appl. Nonlinear Anal., 4, 1-20 (1997). [MR: 1425012] [Zbl: 0873.45006]
  8. E. GABETTA, G. TOSCANI, B. WENNBERG, " Metrics for probability distributions and the trend to equilibrium for solutions of the Boltzmann equation", J. Stat. Phys. 81, 901-934 (1995). [MR: 1361302] [Zbl: 1081.82616]
  9. T. GOUDON, " On the Boltzmann equation and its relations to the Landau-Fokker-Planck equation: influence of grazing collisions". To appear in C. R. Acad. Sci., 1997. [Zbl: 0882.76079]
  10. M. KAC, Probability and related topics in the physical sciences, New York (1959). [MR: 102849] [Zbl: 0087.33003]
  11. P. L. LIONS, " On Boltzmann and Landau equations", Phil. Trans. R. Soc. Lond., A(346), 191-204 (1994). [MR: 1278244] [Zbl: 0809.35137]
  12. P. L. LIONS, G. TOSCANI, " A sthrenghtened central limit theorem for smooth densities", J. Funct. Anal. 128, 148-167 (1995). [MR: 1322646] [Zbl: 0822.60018]
  13. J. NASH, " Continuity of solutions of parabolic and elliptic equations", Amer. J. Math. 80, 931-957 (1958). [MR: 100158] [Zbl: 0096.06902]
  14. G. TOSCANI, " On regularity and asymptotic behaviour of a spatially homogeneous Maxwell gas". Rend. Circolo Mat. Palermo, Serie II, Suppl. 45, 649-622 (1996). [MR: 1461111] [Zbl: 0893.76081]
  15. G. TOSCANI, " Sur l'inégalité logarithmique de Sobolev", To appear in C. R. Acad. Sci., 1997. [MR: 1447044] [Zbl: 0905.46018]
  16. C. VILLANI, " On the Landau equation: weak stability, global existence", Adv. Diff. Eq. 1 (5), 793-818 (1996). [MR: 1392006] [Zbl: 0856.35020]
  17. C. VILLANI, " On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations". [Zbl: 0912.45011]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.

Recommended for you