To the Problem on Small Motions of the System of Two Viscoelastic Fluids in a Fixed Vessel

Autor:	N D Kopachevsky
Rok vydání:	2018
Předmět:	Materials science General Medicine Mechanics Viscoelasticity
Zdroj:	Contemporary Mathematics. Fundamental Directions. 64:547-572
ISSN:	2413-3639
DOI:	10.22363/2413-3639-2018-64-3-547-572
Popis:	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).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a16aaa34698005c406699d8068bf73bc https://doi.org/10.22363/2413-3639-2018-64-3-547-572 Zobrazit plný text záznamu