Journal of Mathematical Sciences

, Volume 164, Issue 4, pp 531–539 | Cite as

Problem on small motions of ideal rotating relaxing fluid



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.


Hilbert Space Cauchy Problem Strong Solution Volterra Integral Equation Small Motion 
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Copyright information

© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  1. 1.V. I. Vernadskii Tavria National UniversitySimferopol’Ukraine

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