Geodesic
On an initial-boundary value problem which arises in the dynamics of a viscous stratified fluid
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2020), pp. 59-73.

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An initial-boundary value problem is considered which describes the linear vibrations of a viscous stratified fluid with elastic membrane in a bounded vessel. 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.
Keywords: stratification effect in viscous fluids, differential equation in Hilbert space, Cauchy problem, strong solution. 
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D. O. Tsvetkov. On an initial-boundary value problem which arises in the dynamics of a viscous stratified fluid. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2020), pp. 59-73. http://geodesic.mathdoc.fr/item/IVM_2020_8_a6/

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