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math.SP2012
Spectral gaps for the linear surface wave model in periodic channels
Fedor Bakharev, Keijo Ruotsalainen, Jari Taskinen
We consider the linear water-wave problem in a periodic channel which consists of infinitely many identical containers connected with apertures of width . Motivated by applicati…
math.SP2011★ 26 cited
A gap in the spectrum of the Neumann-Laplacian on a periodic waveguide
F. L. Bakharev, S. A. Nazarov, K. M. Ruotsalainen
We will study the spectral problem related to the Laplace operator in a singularly perturbed periodic waveguide. The waveguide is a quasi-cylinder with contains periodic arrangemen…