TY - JOUR
T1 - Spectral analysis in thin tubes with axial heterogeneities
AU - Ferreira, Rita
AU - Mascarenhas, M. Luísa
AU - Piatnitski, Andrey
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2015
Y1 - 2015
N2 - 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]).
AB - 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]).
UR - http://hdl.handle.net/10754/580028
UR - http://www.ems-ph.org/doi/10.4171/PM/1967
UR - http://www.scopus.com/inward/record.url?scp=84941570657&partnerID=8YFLogxK
U2 - 10.4171/PM/1967
DO - 10.4171/PM/1967
M3 - Article
SN - 0032-5155
VL - 72
SP - 247
EP - 266
JO - Portugaliae Mathematica
JF - Portugaliae Mathematica
IS - 2
ER -