Spectral analysis in thin tubes with axial heterogeneities

Handle URI:
http://hdl.handle.net/10754/580028
Title:
Spectral analysis in thin tubes with axial heterogeneities
Authors:
Ferreira, Rita ( 0000-0002-7169-9141 ) ; Mascarenhas, M. Luísa; Piatnitski, Andrey
Abstract:
In this paper, we present the 3D-1D asymptotic analysis of the Dirichlet spectral problem associated with an elliptic operator with axial periodic heterogeneities. We extend to the 3D-1D case previous 3D-2D results (see [10]) and we analyze the special case where the scale of thickness is much smaller than the scale of the heterogeneities and the planar coefficient has a unique global minimum in the periodic cell. These results are of great relevance in the comprehension of the wave propagation in nanowires showing axial heterogeneities (see [17]).
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Spectral analysis in thin tubes with axial heterogeneities 2015, 72 (2):247 Portugaliae Mathematica
Publisher:
European Mathematical Publishing House
Journal:
Portugaliae Mathematica
Issue Date:
2015
DOI:
10.4171/PM/1967
Type:
Article
ISSN:
0032-5155
Additional Links:
http://www.ems-ph.org/doi/10.4171/PM/1967
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorFerreira, Ritaen
dc.contributor.authorMascarenhas, M. Luísaen
dc.contributor.authorPiatnitski, Andreyen
dc.date.accessioned2015-10-21T08:59:11Zen
dc.date.available2015-10-21T08:59:11Zen
dc.date.issued2015en
dc.identifier.citationSpectral analysis in thin tubes with axial heterogeneities 2015, 72 (2):247 Portugaliae Mathematicaen
dc.identifier.issn0032-5155en
dc.identifier.doi10.4171/PM/1967en
dc.identifier.urihttp://hdl.handle.net/10754/580028en
dc.description.abstractIn this paper, we present the 3D-1D asymptotic analysis of the Dirichlet spectral problem associated with an elliptic operator with axial periodic heterogeneities. We extend to the 3D-1D case previous 3D-2D results (see [10]) and we analyze the special case where the scale of thickness is much smaller than the scale of the heterogeneities and the planar coefficient has a unique global minimum in the periodic cell. These results are of great relevance in the comprehension of the wave propagation in nanowires showing axial heterogeneities (see [17]).en
dc.language.isoenen
dc.publisherEuropean Mathematical Publishing Houseen
dc.relation.urlhttp://www.ems-ph.org/doi/10.4171/PM/1967en
dc.rightsArchived with thanks to Portugaliae Mathematicaen
dc.subjectSpectral analysisen
dc.subjectdimension reductionen
dc.subjecthomogenizationen
dc.subjectquantum waveguidesen
dc.titleSpectral analysis in thin tubes with axial heterogeneitiesen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalPortugaliae Mathematicaen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionDepartamento de Matemática & CMA, Universidade Nova de Lisboa, Quinta da Torre, 2829-516, CAPARICA, PORTUGALen
dc.contributor.institutionNarvik University College, P.O. Box 385, 8505 Narvik, Norwayen
dc.contributor.institutionP.N. Lebedev Physical Institute RAS, Leninski prospect 53, Moscow 119991, Russiaen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorFerreira, Ritaen
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