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On Villani's conjecture concerning entropy production for the Kac Master equation
| 1. | Department of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, United States |
References:
| [1] |
A. V. Bobylev and C. Cercignani, On the rate of entropy production for the Boltzmann equation, J. Statist. Phys., 94, (1999), 603-618.
doi: 10.1023/A:1004537522686. |
| [2] |
E. A. Carlen, M. C. Carvalho and M. Loss, Many-body aspects of approach to equilibrium, "Séminaire Equations aux Dérivées Partielles'' (La Chapelle sur Erdre, 2000), |
| [3] |
E. A. Carlen, M. C. Carvalho, J. Le Roux, M. Loss and C. Villani, Entropy and chaos in the Kac model, Kinet. Relat. Models, 3 (2010), 85-122.
doi: 10.3934/krm.2010.3.85. |
| [4] |
E. Janvresse, Spectral gap for Kac's model of Boltzmann equation, Ann. Probab., 29 (2001), 288-304.
doi: 10.1214/aop/1008956330. |
| [5] |
M. Kac, Foundations of kinetic theory, Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, 1954-1955, vol. III, pp. 171-197. University of California Press, Berkeley and Los Angeles, 1956. |
| [6] |
C. Villani, Cercignani's conjecture is sometimes true and always almost true, Comm. Math. Phys., 234 (2003), 455-490.
doi: 10.1007/s00220-002-0777-1. |
show all references
References:
| [1] |
A. V. Bobylev and C. Cercignani, On the rate of entropy production for the Boltzmann equation, J. Statist. Phys., 94, (1999), 603-618.
doi: 10.1023/A:1004537522686. |
| [2] |
E. A. Carlen, M. C. Carvalho and M. Loss, Many-body aspects of approach to equilibrium, "Séminaire Equations aux Dérivées Partielles'' (La Chapelle sur Erdre, 2000), |
| [3] |
E. A. Carlen, M. C. Carvalho, J. Le Roux, M. Loss and C. Villani, Entropy and chaos in the Kac model, Kinet. Relat. Models, 3 (2010), 85-122.
doi: 10.3934/krm.2010.3.85. |
| [4] |
E. Janvresse, Spectral gap for Kac's model of Boltzmann equation, Ann. Probab., 29 (2001), 288-304.
doi: 10.1214/aop/1008956330. |
| [5] |
M. Kac, Foundations of kinetic theory, Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, 1954-1955, vol. III, pp. 171-197. University of California Press, Berkeley and Los Angeles, 1956. |
| [6] |
C. Villani, Cercignani's conjecture is sometimes true and always almost true, Comm. Math. Phys., 234 (2003), 455-490.
doi: 10.1007/s00220-002-0777-1. |
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