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Mathematics of the USSR-Sbornik, 1990, Volume 67, Issue 2, Pages 403–426
DOI: https://doi.org/10.1070/SM1990v067n02ABEH001192 (Mi sm1644) 		 
This article is cited in 2 scientific papers (total in 2 papers)

A periodic problem for Whitham's equation

P. I. Naumkin, I. A. Shishmarev
English version PDF (1057 kB) Citations (2)
References:
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DOI: https://doi.org/10.1070/SM1990v067n02ABEH001192
Abstract: A periodic problem for the nonlinear and nonlocal Whitham equation is studied. Questions of the breakdown of a solution in finite time, the existence of a solution globally in time, and the smoothing of a discontinuous initial perturbation are considered. The asymptotics of a solution with respect to the smallness of the interaction is found.
Bibliography: 10 titles.
Received: 14.12.1987
Russian version:
Matematicheskii Sbornik, 1989, Volume 180, Number 7, Pages 946–968
Bibliographic databases:
UDC: 517.9
MSC: 35Q20, 76B15
Language: English
Original paper language: Russian
Citation: P. I. Naumkin, I. A. Shishmarev, “A periodic problem for Whitham's equation”, Mat. Sb., 180:7 (1989), 946–968; Math. USSR-Sb., 67:2 (1990), 403–426
Citation in format AMSBIB
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\by P.~I.~Naumkin, I.~A.~Shishmarev
\paper A periodic problem for Whitham's equation
\jour Mat. Sb.
\yr 1989
\vol 180
\issue 7
\pages 946--968
\mathnet{http://mi.mathnet.ru/sm1644}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1014623}
\zmath{https://zbmath.org/?q=an:0697.45005|0711.45010}
\transl
\jour Math. USSR-Sb.
\yr 1990
\vol 67
\issue 2
\pages 403--426
\crossref{https://doi.org/10.1070/SM1990v067n02ABEH001192}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990EN23400006}
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  • https://doi.org/10.1070/SM1990v067n02ABEH001192
  • https://www.mathnet.ru/eng/sm/v180/i7/p946
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1989–1990 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:293
    Russian version PDF:135
    English version PDF:2
    References:34
    First page:1
     
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