Geodesic
To the problem on small motions of the system of two viscoelastic fluids in a~fixed vessel
Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 64 (2018) no. 3, pp. 547-572

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In this paper, we study the problem of small motions of two Oldroyd viscoelastic incompressible fluids contained in a fixed vessel. By means of the operator approach, we reduce the original initialboundary value problem to the Cauchy problem for a differential operator equation in a Hilbert space and prove the well-posed solvability of the problem on an arbitrary interval of time. We obtain the equation for normal oscillations of the hydraulic system under consideration (Krein generalized operator pencil). 
@article{CMFD_2018_64_3_a3,
     author = {N. D. Kopachevsky},
     title = {To the problem on small motions of the system of two viscoelastic fluids in a~fixed vessel},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {547--572},
     publisher = {mathdoc},
     volume = {64},
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     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2018_64_3_a3/}
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N. D. Kopachevsky. To the problem on small motions of the system of two viscoelastic fluids in a~fixed vessel. Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 64 (2018) no. 3, pp. 547-572. http://geodesic.mathdoc.fr/item/CMFD_2018_64_3_a3/