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Problem on small motions of ideal rotating relaxing fluid

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Abstract

We study an evolution problem on small motions of the ideal rotating relaxing fluid in bounded domains. We begin from the problem posing. Then we reduce the problem to a second-order integrodifferential equation in a Hilbert space. Using this equation, we prove a strong unique solvability problem for the corresponding initial-boundary value problem.

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Authors and Affiliations

  1. V. I. Vernadskii Tavria National University, Vernadskii pr. 4, Simferopol’, Ukraine, 95007

    D. A. Zakora

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  1. D. A. Zakora
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Correspondence to D. A. Zakora.

Additional information

Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 29, Proceedings of KROMSH, 2008.

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Zakora, D.A. Problem on small motions of ideal rotating relaxing fluid. J Math Sci 164, 531–539 (2010). https://doi.org/10.1007/s10958-010-9761-z

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  • DOI: https://doi.org/10.1007/s10958-010-9761-z

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