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On small motions of hydraulic systems containing a viscoelastic fluid
N. D. Kopachevskii, E. V. Syomkina Crimea Federal University, Simferopol
Abstract:
This paper is devoted to the study of two problems describing small motions of partially dissipative hydraulic systems. The first problem concerns small motions of a hydraulic system consisting of a viscoelastic fluid and a barotropic gas located above the fluid; the second concerns small motions of the hydraulic system “viscoelastic fluid—ideal fluid—ideal fluid” filling a static vessel. Using the operator approach developed in previous works of the authors, both problems are reduced to the Cauchy problem for a differential-operator equation in a Hilbert space and a theorem on the solvability of the problem on an arbitrary finite time interval is proved.
Keywords:
hydrodynamic system, ideal fluid, viscoelastic fluid, barotropic gas, orthoprojector, Cauchy problem.
Citation:
N. D. Kopachevskii, E. V. Syomkina, “On small motions of hydraulic systems containing a viscoelastic fluid”, Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 3, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 172, VINITI, Moscow, 2019, 48–90
Linking options:
https://www.mathnet.ru/eng/into546 https://www.mathnet.ru/eng/into/v172/p48
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Abstract page: | 157 | Full-text PDF : | 82 | References: | 17 |
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