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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 6, Pages 1034–1055 (Mi zvmmf4578)  
This article is cited in 19 scientific papers (total in 21 papers)

Symmetric hyperbolic equations in the nonlinear elasticity theory

S. K. Godunov, I. M. Peshkov

Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Koptyuga 4, Novosibirsk, 630090, Russia
Full-text PDF (1904 kB) Citations (21)
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Abstract: The basic results are overviewed concerning the formulation of nonlinear elasticity equations in the form of symmetric hyperbolic systems in long-time studies performed under the direction of the first author. The underlying principles developed in those studies are stated, and some inaccuracies and errors are corrected. Procedures are described for computing the coefficient matrices of the equations from a given equation of state.
Key words: nonlinear elasticity theory, symmetric hyperbolic equations, equations in Eulerian and Lagrangian coordinates, review.
Received: 10.12.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 6, Pages 975–995
DOI: https://doi.org/10.1134/S0965542508060092
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: S. K. Godunov, I. M. Peshkov, “Symmetric hyperbolic equations in the nonlinear elasticity theory”, Zh. Vychisl. Mat. Mat. Fiz., 48:6 (2008), 1034–1055; Comput. Math. Math. Phys., 48:6 (2008), 975–995
Citation in format AMSBIB
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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