Geodesic
Hypocoercive Diffusion Operators
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 2, pp. 257-275

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

In many problems coming from mathematical physics, the association of a degenerate diffusion operator with a conservative operator may lead to dissipation in all variables and convergence to equilibrium. One can draw an analogy with the well-studied phenomenon of hypoellipticity in regularity theory, and actually both phenomena have been studied together. Now a distinctive theory of ``hypocoercivity'' is starting to emerge, with already some striking results, and several challenging open problems. This text (an abbreviated version of the one which I prepared for the International Congress of Mathematicians) will review some of them. 
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     title = {Hypocoercive {Diffusion} {Operators}},
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Villani, Cédric. Hypocoercive Diffusion Operators. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 2, pp. 257-275. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_2_a0/