dc.contributor
Centre de Recerca Matemàtica
cat
dc.contributor.author
Carrillo, José A.
dc.contributor.author
McCann, Robert, J.
dc.contributor.author
Villani, Cédric
dc.date.accessioned
2006-03-16T12:32:26Z
dc.date.accessioned
2024-09-19T13:17:01Z
dc.date.available
2006-03-16T12:32:26Z
dc.date.available
2024-09-19T13:17:01Z
dc.identifier.uri
http://hdl.handle.net/2072/1726
dc.description.abstract
An algebraic decay rate is derived which bounds the time required for velocities to equilibrate in a spatially homogeneous flow-through model representing the continuum limit of a gas of particles interacting through slightly inelastic collisions. This rate is obtained by reformulating the dynamical problem as the gradient flow of a convex energy on an infinite-dimensional manifold. An abstract theory is developed for gradient flows in length spaces, which shows how degenerate convexity (or even non-convexity) | if uniformly controlled | will quantify contractivity (limit expansivity) of the flow.
eng
dc.format.extent
393193 bytes
dc.format.mimetype
application/pdf
dc.publisher
Centre de Recerca Matemàtica
en
dc.relation.ispartofseries
Prepublicacions del Centre de Recerca Matemàtica;620
dc.rights
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/)
cat
dc.subject
Geometria algebraica
en
dc.title
Contractions in the 2-wasserstein lenght space and thermalization of granular media
en
dc.type
info:eu-repo/semantics/preprint
en
