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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 12, Pages 70–85 (Mi ivm9421)  
This article is cited in 4 scientific papers (total in 4 papers)

Oscillations of stratified liquid partially covered by crumpling ice

D. O. Tsvetkov

V.I. Vernadsky Crimean Federal University (Taurida Academy), 4 Vernadskogo Ave., Simferopol, 295000 Russia
Full-text PDF (256 kB) Citations (4)
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Abstract: We study the problem on small motions of ideal stratified fluid with a free surface, partially covered by crumbling ice. By the method of orthogonal projecting the boundary conditions on the moving surface and the introduction of auxiliary problems of the original initial-boundary value problem is reduced to the equivalent Cauchy problem for a differential equation of the second order in a Hilbert space. We find sufficient existence conditions for a strong (with respect to the time variable) solution to the initial-boundary value problem describing the evolution of the specified hydrodynamics system.
Keywords: stratification effect in ideal fluids, initial boundary value problem, differential equation in Hilbert space, Cauchy problem, strong solution.
Received: 10.11.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 12, Pages 59–73
DOI: https://doi.org/10.3103/S1066369X18120058
Bibliographic databases:
Document Type: Article
UDC: 517.986
Language: Russian
Citation: D. O. Tsvetkov, “Oscillations of stratified liquid partially covered by crumpling ice”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 12, 70–85; Russian Math. (Iz. VUZ), 62:12 (2018), 59–73
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
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:28
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