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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2012, Volume 12, Issue 4, Pages 82–100 (Mi vngu22)  
This article is cited in 2 scientific papers (total in 2 papers)

Entropy Solutions of Differential Equations with Variable Parabolicity Direction

I. V. Kuznetsov

M. A. Lavrent'ev Institute of Hydrodynamics, Novosibirsk
Full-text PDF (314 kB) Citations (2)
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Abstract: First-type boundary problem is considered in restricted area with variable parabolicity direction. Equations of this form arise in the Prandtl boundary layer modeling. It is proved that for any initial and final data exists a unique entropy solution.
Keywords: entropy solutions, variable parabolicity direction, first-type boundary problem.
Received: 15.02.2012
English version:
Journal of Mathematical Sciences, 2014, Volume 202, Issue 1, Pages 91–112
DOI: https://doi.org/10.1007/s10958-014-2036-3
Document Type: Article
UDC: 517.95
Language: Russian
Citation: I. V. Kuznetsov, “Entropy Solutions of Differential Equations with Variable Parabolicity Direction”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 12:4 (2012), 82–100; J. Math. Sci., 202:1 (2014), 91–112
Citation in format AMSBIB
\Bibitem{Kuz12}
\by I.~V.~Kuznetsov
\paper Entropy Solutions of Differential Equations with Variable Parabolicity Direction
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2012
\vol 12
\issue 4
\pages 82--100
\mathnet{http://mi.mathnet.ru/vngu22}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 202
\issue 1
\pages 91--112
\crossref{https://doi.org/10.1007/s10958-014-2036-3}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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