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Inverse Problem for the Boussinesq – Love Mathematical Model

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Semigroups of Operators – Theory and Applications (SOTA 2018)

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Abstract

The work is devoted to the investigation of the inverse problem for the Boussinesq – Love equation with additional conditions. Such an equation is a Sobolev type equation and models a longitudinal vibrations in a thin elastic rod. We apply the previously obtained results for an abstract problem. The original mathematical model is reduced to the Cauchy problem for abstract Sobolev type equation of the second order sufficient conditions for the unique solvability of the problem under study are obtained.

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Acknowledgements

The reported study was funded by RFBR, project number 19-31-90137.

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Authors and Affiliations

  1. South Ural State University, Lenina, 76, Chelyabinsk, Russia

    Alyona A. Zamyshlyaeva & Aleksandr V. Lut

Authors
  1. Alyona A. Zamyshlyaeva
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  2. Aleksandr V. Lut
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Corresponding author

Correspondence to Aleksandr V. Lut .

Editor information

Editors and Affiliations

  1. Department of Mathematics and Applied Mathematics, University of Pretoria, Hatfield, South Africa

    Jacek Banasiak

  2. Department of Mathematics, Lublin University of Technology, Lublin, Poland

    Adam Bobrowski

  3. Institute of Applied Mathematics and Mechanics, University of Warsaw, Warsaw, Poland

    Mirosław Lachowicz

  4. Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland

    Yuri Tomilov

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Zamyshlyaeva, A.A., Lut, A.V. (2020). Inverse Problem for the Boussinesq – Love Mathematical Model. In: Banasiak, J., Bobrowski, A., Lachowicz, M., Tomilov, Y. (eds) Semigroups of Operators – Theory and Applications. SOTA 2018. Springer Proceedings in Mathematics & Statistics, vol 325. Springer, Cham. https://doi.org/10.1007/978-3-030-46079-2_23

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