dc.contributor |
Centre de Recerca Matemàtica |
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.available |
2006-03-16T12:32:26Z |
dc.date.issued |
2005-03 |
dc.identifier.uri |
http://hdl.handle.net/2072/1726 |
dc.format.extent |
393193 bytes |
dc.format.mimetype |
application/pdf |
dc.language.iso |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
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/) |
dc.subject |
Geometria algebraica |
dc.title |
Contractions in the 2-wasserstein lenght space and thermalization of granular media |
dc.type |
info:eu-repo/semantics/preprint |
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. |