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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 6, Pages 1282–1297 (Mi smj2161)  
This article is cited in 5 scientific papers (total in 6 papers)

Friedrichs systems for the three-dimensional wave equation

V. M. Gordienkoab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University, Mechanics and Mathematics Department, Novosibirsk
Full-text PDF (322 kB) Citations (6)
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Abstract: The three-dimensional wave equation is reduced to a Friedrichs symmetric hyperbolic system. We describe all these reductions and find those of them that preserve the velocity of propagation of perturbations. We also exhibit transformations of a Friedrichs system under the Lorentz transformation of coordinates. The construction of the reduction of the wave equation and justification of the properties of this reduction are based on the use of quaternions.
Keywords: wave equation, Friedrichs hyperbolic system, quaternion.
Received: 09.09.2009
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 6, Pages 1013–1027
DOI: https://doi.org/10.1007/s11202-010-0100-x
Bibliographic databases:
Document Type: Article
UDC: 517.956.32
Language: Russian
Citation: V. M. Gordienko, “Friedrichs systems for the three-dimensional wave equation”, Sibirsk. Mat. Zh., 51:6 (2010), 1282–1297; Siberian Math. J., 51:6 (2010), 1013–1027
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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