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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 260, Pages 202–212 (Mi tm595)  
This article is cited in 3 scientific papers (total in 3 papers)

Conditions for the Existence of a Global Strong Solution to a Class of Nonlinear Evolution Equations in a Hilbert Space

M. Otelbaev, A. A. Durmagambetov, E. N. Seitkulov

L. N. Gumilev Eurasian National University
Full-text PDF (182 kB) Citations (3)
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Abstract: We study a nonlinear operator differential equation in a Hilbert space. This equation represents an abstract model for the system of Navier–Stokes equations. The main result consists in proving the existence of a strong solution to this equation under the condition that a certain other system of equations (related to the original equation) has only the zero solution.
Received in September 2007
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 260, Pages 194–203
DOI: https://doi.org/10.1134/S0081543808010148
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: M. Otelbaev, A. A. Durmagambetov, E. N. Seitkulov, “Conditions for the Existence of a Global Strong Solution to a Class of Nonlinear Evolution Equations in a Hilbert Space”, Function theory and nonlinear partial differential equations, Collected papers. Dedicated to Stanislav Ivanovich Pohozaev on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 260, MAIK Nauka/Interperiodica, Moscow, 2008, 202–212; Proc. Steklov Inst. Math., 260 (2008), 194–203
Citation in format AMSBIB
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\by M.~Otelbaev, A.~A.~Durmagambetov, E.~N.~Seitkulov
\paper Conditions for the Existence of a~Global Strong Solution to a~Class of Nonlinear Evolution Equations in a~Hilbert Space
\inbook Function theory and nonlinear partial differential equations
\bookinfo Collected papers. Dedicated to Stanislav Ivanovich Pohozaev on the occasion of his 70th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2008
\vol 260
\pages 202--212
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm595}
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\jour Proc. Steklov Inst. Math.
\yr 2008
\vol 260
\pages 194--203
\crossref{https://doi.org/10.1134/S0081543808010148}
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Linking options:
  • https://www.mathnet.ru/eng/tm595
  • https://www.mathnet.ru/eng/tm/v260/p202
    Cycle of papers
    This publication is cited in the following 3 articles:
    1. Tynysbek Sh. Kal'menov, Makhmud A. Sadybekov, AIP Conference Proceedings, 1880, 2017, 020001  crossref
    2. M. Otelbaev, “Examples of Equations of Navier–Stokes Type Not Strongly Solvable in the Large”, Math. Notes, 89:5 (2011), 726–733  mathnet  crossref  crossref  mathscinet  isi
    3. Otelbaev M., Zhapsarbaeva L.K., “Continuous dependence of the solution of a parabolic equation in a Hilbert space on the parameters and initial data”, Differ. Equ., 45:6 (2009), 836–861  crossref  mathscinet  zmath  isi  elib  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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    Abstract page:557
    Full-text PDF :106
    References:92
    First page:28
     
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