2022
DOI: 10.1007/s10958-022-05970-1
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Problems on Small Motions of Systems of Two Viscoelastic Fluids in Fixed Vessels

Abstract: In this paper, we study the problem on small motions of two Oldroyd viscoelastic incompressible fluids contained in a fixed vessel. By means of the operator approach, we reduce the original initial-boundary problem to the Cauchy problem for an operator-differential equation in a Hilbert space and prove the well-posed solvability of the problem on an arbitrary time interval. We deduce the equation for normal oscillations of the considered hydraulic system (the Krein generalized operator pencil).

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