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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 285, Pages 194–206 (Mi znsl1561)  
This article is cited in 1 scientific paper (total in 1 paper)

The Riemann problem for the weakly perturbed $2\times2$ hyperbolic systems

I. O. Rasskazov

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (232 kB) Citations (1)
Abstract: The discontinuous initial value problem for a hyperbolic system of two quasilinear equations with small perturbation is considered. The asymptotics on a small parameter of an discontinuous solution is investigated. The full asymptotic expansions are constructed, when the solution of a nonperturbed problem contains two shock waves.
Received: 20.12.2001
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 122, Issue 5, Pages 3564–3571
DOI: https://doi.org/10.1023/B:JOTH.0000034036.97955.a8
Bibliographic databases:
UDC: 517
Language: Russian
Citation: I. O. Rasskazov, “The Riemann problem for the weakly perturbed $2\times2$ hyperbolic systems”, Mathematical problems in the theory of wave propagation. Part 31, Zap. Nauchn. Sem. POMI, 285, POMI, St. Petersburg, 2002, 194–206; J. Math. Sci. (N. Y.), 122:5 (2004), 3564–3571
Citation in format AMSBIB
\Bibitem{Ras02}
\by I.~O.~Rasskazov
\paper The Riemann problem for the weakly perturbed $2\times2$ hyperbolic systems
\inbook Mathematical problems in the theory of wave propagation. Part~31
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 285
\pages 194--206
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1561}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1911120}
\zmath{https://zbmath.org/?q=an:1072.35553}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 122
\issue 5
\pages 3564--3571
\crossref{https://doi.org/10.1023/B:JOTH.0000034036.97955.a8}
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    • 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
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