References
L. Arkeryd. On the long time behaviour of the Boltzmann equation in a periodic box. Preprint.
C. Bardos, F. Golse & D. Levermore. In preparation, personal communication.
R. J. DiPerna & P. L. Lions. On the Cauchy problem for Boltzmann equations: global existence and weak stability. Ann. Math. 130 (1989), pp. 321–366.
R. J. DiPerna & P. L. Lions, Solutions globales de l'équation de Boltzmann. C. R. Acad. Sci. Paris 306 (1988), pp. 343–346.
R. J. DiPerna & P. L. Lions. Solutions globales de l'équation de Boltzmann. In Séminaire Equations aux Dérivées Partielles, École Polytechnique, Palaiseau, 1987-88.
P. Gérard. In Séminaire Bourbaki, Astérisque, SMF, Paris, 1988.
K. Hamdache. In preparation.
J. Polewczak. Global existence in L 1 for the modified nonlinear Enskog equation in ℝ3. Preprint.
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Communicated by C. M. Dafermos
Deceased
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DiPerna, R.J., Lions, P.L. Global solutions of Boltzmann's equation and the entropy inequality. Arch. Rational Mech. Anal. 114, 47–55 (1991). https://doi.org/10.1007/BF00375684
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DOI: https://doi.org/10.1007/BF00375684