Graham, C.; Meleard, S.: Existence and regularity of a solution of a Kac equation without cuto using the stochastic calculus of variations, Commun. Math. Phys. 205, 551-569 (1999). Home/Search Document Not in Database Summary Related Articles Check |
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On The Boltzmann Equation For Long-Range Interactions - Alexandre, Villani (2002) (2 citations) (Correct)
....independently of the dimension) and justify the Landau approximation. 3. The study of qualitative properties of solutions to the spatially homogeneous Boltzmann equation without cut off was impulsed by the works of Desvillettes [17, 18, 19] and his student Prouti ere [39] Graham and M el eard [30] managed to recover the results of Desvillettes for the one dimensional Kac model by a purely probabilistic method relying on the Malliavin calculus. In all these works it is proven that in some particular regimes, the Boltzmann equation without cut off has smoothing properties, which the ....
Graham, C. and M' el' eard, S. Existence and regularity of a solution of a Kac equation without cutoff using Malliavin calculus. Preprint 438, Labo. Prob. Paris 6 (1998).
A Stochastic particle numerical method for 3D Boltzmann.. - Fournier, Meleard (2000) Self-citation (El) (Correct)
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Graham, C.; Meleard, S.: Existence and regularity of a solution of a Kac equation without cuto using the stochastic calculus of variations, Commun. Math. Phys. 205, 551-569 (1999).
Convergence from Boltzmann to Landau process with soft.. - Guerin, Meleard (2001) Self-citation (El) (Correct)
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Graham, C.; Meleard, S.: Existence and regularity of a solution of a Kac equation without cuto using the stochastic calculus of variations, Commun. Math. Phys. 205, 551-569 (1999).
A stochastic particle numerical method for 3D Boltzmann. . . - Fournier, al. (2000) (Correct)
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Graham, C.; Meleard, S.: Existence and regularity of a solution of a Kac equation without cuto using the stochastic calculus of variations, Commun. Math. Phys. 205, 551-569 (1999).
Monte-Carlo approximations and fluctuations for 2D Boltzmann.. - Fournier, al. (2000) (Correct)
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Graham, C.; Meleard, S.: Existence and regularity of a solution of a Kac equation without cuto using the stochastic calculus of variations, Commun. Math. Phys. 205, 551-569 (1999).
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