dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Calvez, Vincent |
dc.contributor.author |
Carrillo, José A. |
dc.date.accessioned |
2011-03-30T07:53:16Z |
dc.date.available |
2011-03-30T07:53:16Z |
dc.date.created |
2010-07 |
dc.date.issued |
2010-07 |
dc.identifier.uri |
http://hdl.handle.net/2072/116932 |
dc.format.extent |
18 |
dc.format.extent |
279167 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;958 |
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.other |
Desigualtats (Matemàtica) |
dc.subject.other |
Equacions diferencials |
dc.title |
Refined asymptotics for the subcritical Keller-Segel system and related functional inequalities |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
517 - Anàlisi |
dc.description.abstract |
We analyze the rate of convergence towards self-similarity for the subcritical Keller-Segel system in the radially symmetric two-dimensional case and in the corresponding one-dimensional case for logarithmic interaction. We measure convergence in Wasserstein distance. The rate of convergence towards self-similarity does not degenerate as we approach the critical case. As a byproduct, we obtain a proof of the logarithmic Hardy-Littlewood-Sobolev inequality in the one dimensional and radially symmetric two dimensional case based on optimal transport arguments. In addition we prove that the onedimensional equation is a contraction with respect to Fourier distance in the subcritical case. |