标题： 周期性弹性波导光谱中的带隙 显示英文标题

标题： Bands in the spectrum of a periodic elastic waveguide

摘要： 我们研究了一个无界周期波导中的谱线性弹性问题，该波导由一系列相同的有界单元组成，并通过直径为$ h >0$数量级的薄筋连接。 已知该问题的本质谱具有带隙结构。 我们推导出当$h \to 0$趋于某个值时，谱带和谱隙位置的渐近公式。 显示英文摘要

摘要： 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 $h \to 0$.