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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 177, Number 2, Pages 222–230
DOI: https://doi.org/10.4213/tmf8546 (Mi tmf8546) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Periodic solutions of the Hopf equation

A. B. Shabatab

a Landau Institute for Theoretical Physics, RAS, Moscow, Russia
b Aliev Karachaev-Cherkess State University, Karachaevsk, Russia
Full-text PDF (375 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf8546
Abstract: We consider the long-time dynamics of approximate solutions of the boundary-value problem for the Hopf equation on a finite segment. Together with the initial conditions, for instance, we impose the zero Dirichlet conditions on both ends of the segment. In this case, all features of solutions associated with the intersections of characteristics are accumulated on a strip bounded by the vertical characteristics emitted from the boundary points.
Keywords: generalized solution, conservation law, Galerkin method.
Received: 12.05.2013
English version:
Theoretical and Mathematical Physics, 2013, Volume 177, Issue 2, Pages 1471–1478
DOI: https://doi.org/10.1007/s11232-013-0116-z
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. B. Shabat, “Periodic solutions of the Hopf equation”, TMF, 177:2 (2013), 222–230; Theoret. and Math. Phys., 177:2 (2013), 1471–1478
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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