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math.AP2020
Band-gap structure of the spectrum of the water-wave problem in a shallow canal with a periodic family of deep pools
Sergei A. Nazarov, Jari Taskinen
We consider the linear water-wave problem in a periodic channel , which is shallow except for a periodic array of deep potholes in it. Motivated by applic…
math.AP2020★ 5 cited
Surface waves in a channel with thin tunnels and wells at the bottom: non-reflecting underwater tomography
Lucas Chesnel, Sergei A. Nazarov, Jari Taskinen
We consider the propagation of surface water waves in a straight planar channel perturbed at the bottom by several thin curved tunnels and wells. We propose a method to construct n…