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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 8, Pages 59–73
DOI: https://doi.org/10.26907/0021-3446-2020-8-59-73 (Mi ivm9604) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On an initial-boundary value problem which arises in the dynamics of a viscous stratified fluid

D. O. Tsvetkov

Crimean Federal University (Taurida Academy), 4 Vernadskogo Ave., Simferopol, 295000 Russia
Full-text PDF (440 kB) Citations (4)
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DOI: https://doi.org/10.26907/0021-3446-2020-8-59-73
Abstract: An initial-boundary value problem is considered which describes the linear vibrations of a viscous stratified fluid with elastic membrane in a bounded vessel. We find sufficient existence conditions for a strong (with respect to the time variable) solution of the initial-boundary value problem describing the evolution of the specified hydrodynamics system.
Keywords: stratification effect in viscous fluids, differential equation in Hilbert space, Cauchy problem, strong solution.
Received: 04.09.2019
Revised: 04.09.2019
Accepted: 18.12.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 8, Pages 50–63
DOI: https://doi.org/10.3103/S1066369X20080071
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: D. O. Tsvetkov, “On an initial-boundary value problem which arises in the dynamics of a viscous stratified fluid”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 8, 59–73; Russian Math. (Iz. VUZ), 64:8 (2020), 50–63
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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