dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Carrillo, José A. |
dc.contributor.author |
Desvillettes, L. |
dc.contributor.author |
Fellner, K. |
dc.date.accessioned |
2010-03-12T08:57:12Z |
dc.date.available |
2010-03-12T08:57:12Z |
dc.date.created |
2009-10 |
dc.date.issued |
2009-10 |
dc.identifier.uri |
http://hdl.handle.net/2072/46771 |
dc.format.extent |
15 |
dc.format.extent |
209519 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;887 |
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 |
Entropia |
dc.subject.other |
Equacions no lineals |
dc.subject.other |
Dualitat, Teoria de la (Matemàtica) |
dc.title |
Rigorous derivation of a nonlinear diffusion equation as fast-reaction limit of a continuous coagulation-fragmentation model with diffusion |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
517 - Anàlisi |
dc.description.abstract |
Weak solutions of the spatially inhomogeneous (diffusive) Aizenmann-Bak model of coagulation-breakup within a bounded domain with homogeneous Neumann boundary conditions are shown to converge, in the fast reaction limit, towards local equilibria determined by their mass. Moreover, this mass is the solution of a nonlinear diffusion equation whose nonlinearity depends on the (size-dependent) diffusion coefficient. Initial data are assumed to have integrable zero order moment and square integrable first order moment
in size, and finite entropy. In contrast to our previous result [CDF2], we are able to show the convergence without assuming uniform bounds from above and below on the number density of clusters. |