dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Carrillo, José A. |
dc.contributor.author |
Di Francesco, Marco |
dc.contributor.author |
Gualdani, Maria P. |
dc.date.accessioned |
2006-03-23T15:46:59Z |
dc.date.available |
2006-03-23T15:46:59Z |
dc.date.issued |
2005-03 |
dc.identifier.uri |
http://hdl.handle.net/2072/1740 |
dc.format.extent |
1108774 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;625 |
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 |
Burger, Equacions de |
dc.subject |
Desenvolupaments asimptòtics |
dc.title |
Semidiscretization and long-time asymptotics of nonlinear diffusion equations |
dc.type |
info:eu-repo/semantics/preprint |
dc.description.abstract |
We review several results concerning the long time asymptotics of nonlinear diffusion models based on entropy and mass transport methods. Semidiscretization of these nonlinear diffusion
models are proposed and their numerical properties analysed. We demonstrate the long time asymptotic results by numerical simulation and we discuss several open problems based on these numerical
results. We show that for general nonlinear diffusion equations the long-time asymptotics can be characterized in terms of fixed points of certain maps which are contractions for the euclidean Wasserstein distance. In fact, we propose a new scaling for which we can prove
that this family of fixed points converges to the Barenblatt solution for perturbations of homogeneous nonlinearities for values close to
zero. |