@article{AIHPC_1999__16_4_467_0, author = {Mischler, St\'ephane and Wennberg, Bernst}, title = {On the spatially homogeneous {Boltzmann} equation}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {467--501}, publisher = {Gauthier-Villars}, volume = {16}, number = {4}, year = {1999}, mrnumber = {1697562}, zbl = {0946.35075}, language = {en}, url = {http://archive.numdam.org/item/AIHPC_1999__16_4_467_0/} }
TY - JOUR AU - Mischler, Stéphane AU - Wennberg, Bernst TI - On the spatially homogeneous Boltzmann equation JO - Annales de l'I.H.P. Analyse non linéaire PY - 1999 SP - 467 EP - 501 VL - 16 IS - 4 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPC_1999__16_4_467_0/ LA - en ID - AIHPC_1999__16_4_467_0 ER -
Mischler, Stéphane; Wennberg, Bernst. On the spatially homogeneous Boltzmann equation. Annales de l'I.H.P. Analyse non linéaire, Volume 16 (1999) no. 4, pp. 467-501. http://archive.numdam.org/item/AIHPC_1999__16_4_467_0/
[1] On the Boltzmann equation, Arch. Rational Mech. Anal., Vol. 34, 1972, pp. 1-34. | MR | Zbl
,[2] Problèmes mathématiques dans la théorie cinétique des gaz, Almqvist and Wiksell, Uppsala, 1957. | MR | Zbl
,[3] The theory and application of the Boltzmann equation, Springer, New York, 1988.
,[4] The Mathematical Theory of Dilute Gases, Springer, New York, 1994. | MR | Zbl
, and ,[5] Some applications of the method of moments for the homogeneous Boltzmann and Kac equation, Arch. Rational Mech. Anal., Vol. 123, n° 4, 1993, pp. 387-395. | MR | Zbl
,[6] Differentiability of spatially homogeneous solutions of the Boltzmann equation Commun. Math. Phys., Vol. 38, 1974, pp. 331-340. | MR | Zbl
,[7] Global boundedness of moments of solutions of the Boltzmann equation for forces of infinite range, Arch. Rational Mech. Anal., Vol. 82, 1983, pp. 1-12. | MR | Zbl
,[8] Relaxation schemes for nonlinear kinetic equations, SIAM J. Num. Anal., Vol. 34, 1997, pp. 2168-2194. | MR | Zbl
, and ,[9] Global Lp-properties for the spatially homogeneous Boltzmann equation, Arch. Rational Mech. Anal., Vol. 103, 1988, pp. 1-38. | MR | Zbl
,[10] Compactness in Boltzmann's equation via Fourier integral operators and applications I-III, J. Math. Kyoto Univ., Vol. 34, n°. 2, pp. 391-427, pp. 429-461, and n° 3, 1994, pp. 539-584. | Zbl
,[11] About the Boltzmann equation in kinetic gas theory, Mat. Sborn, Vol. 58, 1962, pp. 65-86. | MR | Zbl
,[12] Contributions à l'étude Mathématique des Equations Cinétiques, Ph. D-thesis, Université Paris 7, Paris, 1991.
,[13] On moments and uniqueness for solutions to the space homogeneous Boltzmann equation, Transport Theory Stat. Phys., Vol. 24 (4), 1994, pp. 533-539. | MR | Zbl
,[14] Entropy dissipation and moment production for the Boltzmann equation, to appear in J. Statist. Phys. | MR | Zbl
,[15] The Povzner inequality and moments in the Boltzmann equation, Rendiconti del Circolo Matematico di Palermo, Ser II, suppl. 45, 1996, pp. 673-681. | MR | Zbl
,