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Contemporary Mathematics. Fundamental Directions, 2008, Volume 29, Pages 62–70 (Mi cmfd124)  
Problem on small motions of ideal rotating relaxing fluid

D. A. Zakora

Vernadskiy Tavricheskiy National University
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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.
English version:
Journal of Mathematical Sciences, 2010, Volume 164, Issue 4, Pages 531–539
DOI: https://doi.org/10.1007/s10958-010-9761-z
Bibliographic databases:
UDC: 517.9:532
Language: Russian
Citation: D. A. Zakora, “Problem on small motions of ideal rotating relaxing fluid”, Proceedings of the Crimean autumn mathematical school-symposium, CMFD, 29, PFUR, M., 2008, 62–70; Journal of Mathematical Sciences, 164:4 (2010), 531–539
Citation in format AMSBIB
\Bibitem{Zak08}
\by D.~A.~Zakora
\paper Problem on small motions of ideal rotating relaxing fluid
\inbook Proceedings of the Crimean autumn mathematical school-symposium
\serial CMFD
\yr 2008
\vol 29
\pages 62--70
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd124}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2472264}
\transl
\jour Journal of Mathematical Sciences
\yr 2010
\vol 164
\issue 4
\pages 531--539
\crossref{https://doi.org/10.1007/s10958-010-9761-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77949300914}
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