Free Access
Issue
ESAIM: PS
Volume 8, August 2004
Page(s) 36 - 55
DOI https://doi.org/10.1051/ps:2003018
Published online 15 September 2004
  1. R. Alexandre et C. Villani, On the Landau approximation in plasma physics (in preparation).
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  5. L. Boltzmann, Weitere studien über das wärme gleichgenicht unfer gasmoläkuler. Sitzungsber. Akad. Wiss. 66 (1872) 275-370. Translation: Further Studies on the thermal equilibrium of gas molecules, S.G. Brush Ed., Pergamon, Oxford, Kinetic Theory 2 (1966) 88-174.
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  10. N. Fournier, Existence and regularity study for two-dimensional Kac equation without cutoff by a probabilistic approach. Ann. Appl. Probab. 10 (2000) 434-462. [CrossRef] [MathSciNet]
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  12. T. Goudon, Sur l'équation de Boltzmann homogène et sa relation avec l'équation de Landau–Fokker–Planck : influence des collisions rasantes. C. R. Acad. Sci. Paris 324 (1997) 265-270.
  13. C. Graham and S. Méléard, Existence and regularity of a solution of a Kac equation without cutoff using the stochastic calculus of variations. Comm. Math. Phys. 205 (1999) 551-569. [CrossRef] [MathSciNet]
  14. H. Guérin, Solving Landau equation for some soft potentials through a probabilistic approach. Ann. Appl. Probab. 13 (2003) 515-539. [CrossRef] [MathSciNet]
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  23. C. Villani, On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations. Arch. Rational Mech. Anal. 143 (1998) 273-307. [CrossRef] [MathSciNet]

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