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Mathematics of the USSR-Izvestiya, 1969, Volume 3, Issue 1, Pages 229–236
DOI: https://doi.org/10.1070/IM1969v003n01ABEH000765 (Mi im2131) 		 
This article is cited in 9 scientific papers (total in 11 papers)

Example of nonuniqueness in the Hopf class of weak solutions for the Navier–Stokes equations

O. A. Ladyzhenskaya
English version PDF (426 kB) Citations (11)
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DOI: https://doi.org/10.1070/IM1969v003n01ABEH000765
Abstract: An example of nonuniqueness in the class of weak Hopf solutions is constructed for an initial-boundary value problem for the Navier–Stokes equations. An analogous example is also constructed for quasilinear parabolic equations.
Received: 10.10.1968
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1969, Volume 33, Issue 1, Pages 240–247
Bibliographic databases:
UDC: 517.9:532
MSC: 35Q30, 35K15, 35K20
Language: English
Original paper language: Russian
Citation: O. A. Ladyzhenskaya, “Example of nonuniqueness in the Hopf class of weak solutions for the Navier–Stokes equations”, Izv. Akad. Nauk SSSR Ser. Mat., 33:1 (1969), 240–247; Math. USSR-Izv., 3:1 (1969), 229–236
Citation in format AMSBIB
\Bibitem{Lad69}
\by O.~A.~Ladyzhenskaya
\paper Example of nonuniqueness in the Hopf class of weak solutions for the Navier--Stokes equations
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1969
\vol 33
\issue 1
\pages 240--247
\mathnet{http://mi.mathnet.ru/im2131}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=240475}
\zmath{https://zbmath.org/?q=an:0169.13103|0192.44604}
\transl
\jour Math. USSR-Izv.
\yr 1969
\vol 3
\issue 1
\pages 229--236
\crossref{https://doi.org/10.1070/IM1969v003n01ABEH000765}
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  • https://www.mathnet.ru/eng/im/v33/i1/p240
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    English version PDF:33
    References:80
    First page:1
     
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