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]).
Original language | English (US) |
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Pages (from-to) | 247-266 |
Number of pages | 20 |
Journal | Portugaliae Mathematica |
Volume | 72 |
Issue number | 2 |
DOIs | |
State | Published - 2015 |