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On a condition that ensures hydrodynamic stability and uniqueness of stationary and periodic fluid flows
V. L. Khatskevich Russian Air Force Military Educational and Scientific Center of the "N. E. Zhukovskiy and Yu. A. Gagarin Air Force Academy", Voronezh
Abstract:
In this paper, we propose a condition that ensures the applicability of the first Lyapunov method to justifying stability of stationary and periodic fluid flows in a bounded region and the uniqueness of solutions of the corresponding problems.
Keywords:
evolutionary Navier–Stokes equations, hydrodynamic stability, linearized problem, property of uniform dissipativity.
Citation:
V. L. Khatskevich, “On a condition that ensures hydrodynamic stability and uniqueness of stationary and periodic fluid flows”, Proceedings of the Voronezh spring mathematical school
“Modern methods of the theory of boundary-value problems. Pontryagin
readings – XXX”.
Voronezh, May 3-9, 2019. Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 190, VINITI, Moscow, 2021, 122–129
Linking options:
https://www.mathnet.ru/eng/into757 https://www.mathnet.ru/eng/into/v190/p122
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Abstract page: | 160 | Full-text PDF : | 77 | References: | 28 |
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