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Matematicheskie Zametki, 2024, Volume 115, Issue 1, Pages 14–23
DOI: https://doi.org/10.4213/mzm13890 (Mi mzm13890) 		 
On Solutions of the One-Dimensional Goldshtik Problem

O. V. Baskov, D. K. Potapov

Saint Petersburg State University
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DOI: https://doi.org/10.4213/mzm13890
Abstract: A one-dimensional analog of the mathematical model of separated flows of an incompressible Goldshtik fluid is considered. The model is a boundary value problem for a second-order ordinary differential equation with discontinuous right-hand side. Some properties of the solutions of the problem, as well as the properties of the energy functional for different values of vorticity, are established. An approximate solution of the boundary value problem under study is found using the shooting method.
Keywords: Goldshtik model, one-dimensional problem, discontinuous right-hand side, properties of solutions, shooting method.
Funding agency Grant number
Russian Science Foundation 23-21-00069
This work was supported by the Russian Science Foundation under grant no. 23-21-00069, https://rscf.ru/en/project/23-21-00069/.
Received: 14.01.2023
English version:
Mathematical Notes, 2024, Volume 115, Issue 1, Pages 12–20
DOI: https://doi.org/10.1134/S0001434624010024
Bibliographic databases:
Document Type: Article
UDC: 517.911.5+517.927
PACS: N/A
MSC: N/A
Language: Russian
Citation: O. V. Baskov, D. K. Potapov, “On Solutions of the One-Dimensional Goldshtik Problem”, Mat. Zametki, 115:1 (2024), 14–23; Math. Notes, 115:1 (2024), 12–20
Citation in format AMSBIB
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\pages 14--23
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\jour Math. Notes
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\pages 12--20
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