Abstract
An initial-boundary value problem is considered, which describes the linear vibrations of a viscous stratified fluid in a bounded vessel with elastic membrane. We find sufficient existence conditions for a strong (with respect to the time variable) solution of the initial-boundary value problem describing the evolution of the specified hydrodynamics system.
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Russian Text © The Author(s), 2020, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, No. 8, pp. 59–73.
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Tsvetkov, D.O. On an Initial-Boundary Value Problem Which Arises in the Dynamics of a Viscous Stratified Fluid. Russ Math. 64, 50–63 (2020). https://doi.org/10.3103/S1066369X20080071
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DOI: https://doi.org/10.3103/S1066369X20080071