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Izvestiya: Mathematics, 2011, Volume 75, Issue 4, Pages 691–710
DOI: https://doi.org/10.1070/IM2011v075n04ABEH002550 (Mi im4277) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the blow-up of internal gravitational waves with non-linear sources

M. O. Korpusov

M. V. Lomonosov Moscow State University, Faculty of Physics
English version PDF (324 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM2011v075n04ABEH002550
Abstract: We consider an equation of internal gravitational waves in a stratified fluid in which non-linear sources of a general form are taken into account. In the case of the corresponding initial-boundary-value problem in a bounded domain with homogeneous Dirichlet conditions on the boundary, we prove the local-in-time solubility and also obtain sufficient conditions for the blow-up of a solution in finite time.
Keywords: blow-up, non-linear initial-boundary-value problem, internal waves, equation of Sobolev type.
Received: 16.12.2009
Bibliographic databases:
Document Type: Article
UDC: 517.957
MSC: Primary 76B15; Secondary 35Q75
Language: English
Original paper language: Russian
Citation: M. O. Korpusov, “On the blow-up of internal gravitational waves with non-linear sources”, Izv. Math., 75:4 (2011), 691–710
Citation in format AMSBIB
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\by M.~O.~Korpusov
\paper On the blow-up of internal gravitational waves with non-linear sources
\jour Izv. Math.
\yr 2011
\vol 75
\issue 4
\pages 691--710
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  • https://doi.org/10.1070/IM2011v075n04ABEH002550
  • https://www.mathnet.ru/eng/im/v75/i4/p29
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:582
    Russian version PDF:177
    English version PDF:14
    References:60
    First page:18
     
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