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A Revisit to a Double-Periodic Perforated Neumann Waveguide: Opening Spectral Gaps

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Integral Methods in Science and Engineering (IMSE 2022)

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References

  1. Gelfand, I.M.: Expansions in characteristic functions of an equation with periodic coefficients [in Russian]. Doklady Akad. Nauk. SSSR 73, 1117–1120 (1950)

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  2. Gómez, D., Nazarov, S.A., Orive-Illera, R., Pérez-Martínez, M.-E.: Remark on justification of asymptotics of spectra of cylindrical waveguides with periodic singular perturbations of boundary and coefficients. J. Math. Sci. 257, 597–623 (2021)

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  3. Gómez, D., Nazarov, S.A., Orive-Illera, R., Pérez-Martínez, M.-E.: Spectral gaps in a double-periodic perforated Neumann waveguide. Asymptot. Anal., 131, 385–441 (2023)

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Acknowledgements

The work has been partially supported by MICINN through PGC2018-098178-B-I00, PID2020-114703GB-I00, and Severo Ochoa Programme for Centres of Excellence in R&D (CEX2019-000904-S).

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Authors and Affiliations

  1. Universidad de Cantabria, Santander, Spain

    D. Gómez & M. -E. Pérez-Martínez

  2. Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, St. Petersburg, Russia

    S. A. Nazarov

  3. Universidad Autónoma de Madrid, Madrid, Spain

    R. Orive-Illera

Authors
  1. D. Gómez
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  2. S. A. Nazarov
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  3. R. Orive-Illera
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  4. M. -E. Pérez-Martínez
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Corresponding author

Correspondence to M. -E. Pérez-Martínez .

Editor information

Editors and Affiliations

  1. Department of Mathematics, The University of Tulsa, Tulsa, OK, USA

    Christian Constanda

  2. Department of Mechanical Engineering, Federal University of Rio Grande do Sul, Porto Alegre, Rio Grande do Sul, Brazil

    Bardo E.J. Bodmann

  3. School of Architecture, Technology and Engineering, University of Brighton, Brighton, UK

    Paul J. Harris

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Gómez, D., Nazarov, S.A., Orive-Illera, R., Pérez-Martínez, M.E. (2023). A Revisit to a Double-Periodic Perforated Neumann Waveguide: Opening Spectral Gaps. In: Constanda, C., Bodmann, B.E., Harris, P.J. (eds) Integral Methods in Science and Engineering. IMSE 2022. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-34099-4_11

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