On the homogenization of a transmission problem arising in chemistry
| dc.contributor.author | Conca, C. | |
| dc.contributor.author | Díaz Díaz, Jesús Ildefonso | |
| dc.contributor.author | Timofte, Claudia | |
| dc.date.accessioned | 2023-06-20T10:54:59Z | |
| dc.date.available | 2023-06-20T10:54:59Z | |
| dc.date.issued | 2004 | |
| dc.description.abstract | The aim of this paper is to study the asymptotic behavior of the solution of a transmission problem in some chemical reactive flows through periodically perforated domains. The domain is considered to be a fixed bounded open subset Ω⊂Rn, in which identical and periodically distributed perforations (holes) of size ε are made. The asymptotic behavior of the solution of such a problem is governed by a new elliptic boundary-value problem with an extra zero-order term that captures the effect of the chemical reactions associated to the homogenized medium. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Scientific Committee Ecos-Conicyt-Chilean Government | |
| dc.description.sponsorship | Fondap through its Programme on Mathematical Mechanics-French Government | |
| dc.description.sponsorship | DGES (Spain) | |
| dc.description.sponsorship | European Research Training Network HMS 2000 | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/30791 | |
| dc.identifier.issn | 1221-1451 | |
| dc.identifier.relatedurl | http://89.37.223.172/2004_56_4.html | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/51445 | |
| dc.issue.number | 4 | |
| dc.journal.title | Romanian Reports in Physics | |
| dc.language.iso | eng | |
| dc.page.final | 622 | |
| dc.page.initial | 613 | |
| dc.publisher | Academiei Romane | |
| dc.relation.projectID | REN2000-0766 | |
| dc.relation.projectID | HPRN-2000-00109 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 54 | |
| dc.subject.keyword | Homogenization | |
| dc.subject.keyword | energy method | |
| dc.subject.keyword | chemical reactive flows | |
| dc.subject.ucm | Química | |
| dc.subject.unesco | 23 Química | |
| dc.title | On the homogenization of a transmission problem arising in chemistry | |
| dc.type | journal article | |
| dc.volume.number | 56 | |
| dcterms.references | H. BRÉZIS, Analyse Fonctionelle. Théorie et Applications, Masson, 1983. D. CIORANESCU, P. DONATO, An Introduction to Homogenization, Oxford Lecture Series in Mathematics and its Applications, 17, The Clarendon Press, Oxford University Press, New York, 1999. D. CIORANESCU, J. SAINT JEAN PAULIN, Homogenization in open sets with holes, J. Math. Anal. Appl., 71, 590-607 (1979). C. CONCA, J. I. DIAZ, C. TIMOFTE, Effective chemical processes in porous media, Math. Models Methods Appl. Sci. (M3AS), 13 (10), 1437-1462 (2003). C. CONCA, J. I. DIAZ, A. LIÑÁN, C. TIMOFTE,Homogenization in chemical reactive flows through porous media, Preprint, Universidad Complutense de Madrid, 2003. U. HORNUNG, Homogenization and Porous Media, Springer, New York, 1997. J. L. LIONS, G. STAMPACCHIA, Variational inequalities, Comm. Pure Appl. Math. 20, 493-519 (1967). S. MONSURRÒ, Homogenization of a two-component composite with interfacial thermal barrier, Preprint, Laboratoire J. L. TARTAR, Problèmes d’homogénéisation dans les équations aux dérivées partielles,in Cours Peccot, Collège de France, 1977. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 34ef57af-1f9d-4cf3-85a8-6a4171b23557 | |
| relation.isAuthorOfPublication.latestForDiscovery | 34ef57af-1f9d-4cf3-85a8-6a4171b23557 |
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