dc.contributor.author |
Carrillo de la Plata, José Antonio |
dc.contributor.author |
Desvillettes, L. |
dc.contributor.author |
Fellner, K. |
dc.contributor.author |
Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica |
dc.date |
2009 |
dc.identifier |
https://ddd.uab.cat/record/54907 |
dc.identifier |
urn:oai:ddd.uab.cat:54907 |
dc.identifier |
urn:10.1080/03605300903225396 |
dc.identifier |
urn:oai:egreta.uab.cat:publications/1b5e631f-6568-4dcf-847e-22c49a7bf9f0 |
dc.identifier |
urn:scopus_id:74949126004 |
dc.identifier |
urn:recercauab:ARE-52579 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation |
Centre de Recerca Matemàtica. Prepublicacions ; |
dc.rights |
open access |
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 |
dc.rights |
https://creativecommons.org/licenses/by-nc-nd/2.5/ |
dc.subject |
Entropia |
dc.subject |
Equacions no lineals |
dc.subject |
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 |
Article |
dc.type |
Prepublicació |
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. |