Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{Tsv18}
\by D.~O.~Tsvetkov
\paper Oscillations of stratified liquid partially covered by crumpling ice
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2018
\issue 12
\pages 70--85
\mathnet{http://mi.mathnet.ru/ivm9421}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2018
\vol 62
\issue 12
\pages 59--73
\crossref{https://doi.org/10.3103/S1066369X18120058}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000453361600005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85058469904}
Linking options:
  • https://www.mathnet.ru/eng/ivm9421
  • https://www.mathnet.ru/eng/ivm/y2018/i12/p70
    • 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)
    Statistics & downloads:
    Abstract page:187
    Full-text PDF :38
    References:26
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024