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ArticleDate
2015Permanent link to this record
http://hdl.handle.net/10754/580028
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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]).Citation
Spectral analysis in thin tubes with axial heterogeneities 2015, 72 (2):247 Portugaliae MathematicaJournal
Portugaliae MathematicaDOI
10.4171/PM/1967Additional Links
http://www.ems-ph.org/doi/10.4171/PM/1967ae974a485f413a2113503eed53cd6c53
10.4171/PM/1967