Bands in the spectrum of a periodic elastic waveguide

Abstract

We study the spectral linear elasticity problem in an unbounded periodic waveguide, which consists of a sequence of identical bounded cells connected by thin ligaments of diameter of order $h>0$. The essential spectrum of the problem is known to have band-gap structure. We derive asymptotic formulas for the position of the spectral bands and gaps, as $h\to 0$.

28 pages, 5 figures

Cited by in corpus (1)

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