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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2002, Volume 43, Issue 2, Pages 3–21 (Mi pmtf2600)  
This article is cited in 6 scientific papers (total in 6 papers)

Complicated structures of Galilean-invariant conservation laws

S. K. Godunov, V. M. Gordienko

Sobolev Institute of Mathematics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Full-text PDF (287 kB) Citations (6)
Abstract: This paper continues previous investigation of Galilean-invariant equations of mathematical physics, which was begun with the use of the Clebsch–Gordan coefficients from the theory of products of the represented group SO(3). Complex systems of conservation laws and thermodynamic identities are constructed. Concrete examples are given.
Received: 28.06.2001
English version:
Journal of Applied Mechanics and Technical Physics, 2002, Volume 43, Issue 2, Pages 175–189
DOI: https://doi.org/10.1023/A:1014734121601
Bibliographic databases:
Document Type: Article
UDC: 517.9:539.3
Language: Russian
Citation: S. K. Godunov, V. M. Gordienko, “Complicated structures of Galilean-invariant conservation laws”, Prikl. Mekh. Tekh. Fiz., 43:2 (2002), 3–21; J. Appl. Mech. Tech. Phys., 43:2 (2002), 175–189
Citation in format AMSBIB
\Bibitem{GodGor02}
\by S.~K.~Godunov, V.~M.~Gordienko
\paper Complicated structures of Galilean-invariant conservation laws
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2002
\vol 43
\issue 2
\pages 3--21
\mathnet{http://mi.mathnet.ru/pmtf2600}
\elib{https://elibrary.ru/item.asp?id=17274640}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2002
\vol 43
\issue 2
\pages 175--189
\crossref{https://doi.org/10.1023/A:1014734121601}
Linking options:
  • https://www.mathnet.ru/eng/pmtf2600
  • https://www.mathnet.ru/eng/pmtf/v43/i2/p3
    • This publication is cited in the following 6 articles:
    1. Djavvat KHADJİEV, İdris ÖREN, Gayrat BESHİMOV, “Complete Systems of Galileo Invariants of a Motion of Parametric Figure in the Three Dimensional Euclidean Space”, International Electronic Journal of Geometry, 15:2 (2022), 334  crossref
    2. V. M. Gordienko, “On the matrices of Clebsch–Gordan coefficients”, Siberian Math. J., 58:6 (2017), 990–1003  mathnet  mathnet  crossref  crossref  isi  scopus
    3. V. N. Belykh, K. V. Brushlinskii, V. L. Vaskevich, S. P. Kiselev, A. N. Kraiko, A. G. Kulikovskii, V. I. Mali, V. V. Pukhnachov, E. I. Romensky, V. S. Ryaben'kii, “Sergei Konstantinovich Godunov has turned 85 years old”, Russian Math. Surveys, 70:3 (2015), 561–590  mathnet  mathnet  crossref  crossref  isi  scopus
    4. S. V. Selivanova, “Invariant recording of elasticity theory equations”, J. Appl. Mech. Tech. Phys., 49:5 (2008), 809–822  mathnet  mathnet  crossref
    5. S. K. Godunov, Hyperbolic Problems: Theory, Numerics, Applications, 2008, 19  crossref
    6. SERGEI K. GODUNOV, “THE EQUATIONS OF ELASTICITY WITH DISSIPATION AS A NONTRIVIAL EXAMPLE OF THERMODYNAMICALLY CONSISTENT HYPERBOLIC EQUATIONS”, J. Hyper. Differential Equations, 01:02 (2004), 235  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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