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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1972, Volume 12, Number 3, Pages 770–775 (Mi zvmmf6721)  

This article is cited in 3 scientific papers (total in 3 papers)

Scientific communications

Asymptotic solution of the cauchy problem for the equation $\varepsilon^2tu_{xx}=u_t+[\varphi(u)]_{x}$, degenerating for $\varepsilon=0$ into the problem of an arbitrary shock disintegration for the rarefaction wave case

V. A. Tupchiev

Moscow
Full-text PDF (546 kB) Citations (3)
Received: 23.03.1971
Revised: 26.10.1971
English version:
USSR Computational Mathematics and Mathematical Physics, 1972, Volume 12, Issue 3, Pages 255–263
DOI: https://doi.org/10.1016/0041-5553(72)90047-X
Bibliographic databases:
Document Type: Article
UDC: 518:517.944/.947
MSC: Primary 35B40; Secondary 35B25, 35K15
Language: Russian
Citation: V. A. Tupchiev, “Asymptotic solution of the cauchy problem for the equation $\varepsilon^2tu_{xx}=u_t+[\varphi(u)]_{x}$, degenerating for $\varepsilon=0$ into the problem of an arbitrary shock disintegration for the rarefaction wave case”, Zh. Vychisl. Mat. Mat. Fiz., 12:3 (1972), 770–775; U.S.S.R. Comput. Math. Math. Phys., 12:3 (1972), 255–263
Citation in format AMSBIB
\Bibitem{Tup72}
\by V.~A.~Tupchiev
\paper Asymptotic solution of the cauchy problem for the equation $\varepsilon^2tu_{xx}=u_t+[\varphi(u)]_{x}$, degenerating for $\varepsilon=0$ into the problem of an arbitrary shock disintegration for the rarefaction wave case
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1972
\vol 12
\issue 3
\pages 770--775
\mathnet{http://mi.mathnet.ru/zvmmf6721}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0306689}
\zmath{https://zbmath.org/?q=an:0246.35008}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1972
\vol 12
\issue 3
\pages 255--263
\crossref{https://doi.org/10.1016/0041-5553(72)90047-X}
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  • https://www.mathnet.ru/eng/zvmmf/v12/i3/p770
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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