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    Spectral analysis in thin tubes with axial heterogeneities

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    Type
    Article
    Authors
    Ferreira, Rita cc
    Mascarenhas, M. Luísa
    Piatnitski, Andrey
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Date
    2015
    Permanent link to this record
    http://hdl.handle.net/10754/580028
    
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    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]).
    Citation
    Spectral analysis in thin tubes with axial heterogeneities 2015, 72 (2):247 Portugaliae Mathematica
    Publisher
    European Mathematical Society - EMS - Publishing House GmbH
    Journal
    Portugaliae Mathematica
    DOI
    10.4171/PM/1967
    Additional Links
    http://www.ems-ph.org/doi/10.4171/PM/1967
    ae974a485f413a2113503eed53cd6c53
    10.4171/PM/1967
    Scopus Count
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    Articles; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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