The optimal evolution of the free energy of interacting gases and its applications;L'évolution de l'énergie totale d'un gaz le long d'un transport optimal et applications

Comptes Rendus Mathematique

Volumn 337, Issue 3, 2003, Pages 173-178

  Agueh, Martial ^a   Ghoussoub, Nassif ^a   Kang, Xiaosong ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041828253     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(03)00289-9     Document Type: Article

References (11)

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3. W. Beckner, Geometric asymptotics and the logarithmic Sobolev inequality, Forum Math. 11 (1) (1999) 105-137.
4. J. Carrillo, R. McCann, C. Villani, Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates, Rev. Mat. Iberoamericana, in press.
5. D. Cordero-Erausquin, W. Gangbo, C. Houdré, Inequalities for generalized entropy and optimal transportation, in: Proceedings of the Workshop: Mass transportation Methods in Kinetic Theory and Hydrodynamics, in press.
6. D. Cordero-Erausquin, B. Nazaret, C. Villani, A mass-transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities, Preprint, 2002.
7. p-Sobolev logarithmic inequality, J. Funct. Anal. (2002), in press.
8. p-Euclidean logarithmic Sobolev inequality by Hamilton-Jacobi equations, Preprint 2002.
9. R. McCann, A convexity principle for interacting gases, Adv. Math. 128 (1) (1997) 153-179.
10. F. Otto, Doubly degenerate diffusion equations as steepest descent, Preprint, Univ. Bonn, 1996.
11. F. Otto, C. Villani, Generalization of an inequality by Talagrand, and links with the logarithmic Sobolev inequality, J. Funct. Anal. 173 (2) (2000) 361-400.