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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2021, Volume 62, Issue 3, Pages 5–14
DOI: https://doi.org/10.15372/PMTF20210301 (Mi pmtf164) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Application of the method of differential constraints to systems of equations written in Riemann invariants

S. V. Meleshko, E. Shul'tz

Suranaree University of Technology (SUT), Nakhon Ratchasima, 30000 Thailand, 30000, Nakhon Ratchasima, Thailand
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DOI: https://doi.org/10.15372/PMTF20210301
Abstract: Solutions of one-dimensional equations of gas dynamics and the equations describing the behavior of a nonlinear elastic material are reduced to solving a system of homogeneous differential equations written in Riemann invariants. It is shown that the solution of the Cauchy problem for such a system allowing for a differential constraint is reduced to solving a system of ordinary differential equations. Examples of solutions for certain initial data are given.
Keywords: method of differential constraints, Riemann invariants, gas dynamics equations, equations of nonlinear elasticity.
Received: 25.02.2021
Revised: 25.02.2021
Accepted: 01.03.2021
English version:
Journal of Applied Mechanics and Technical Physics, 2021, Volume 62, Issue 3, Pages 351–360
DOI: https://doi.org/10.1134/S0021894421030019
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: S. V. Meleshko, E. Shul'tz, “Application of the method of differential constraints to systems of equations written in Riemann invariants”, Prikl. Mekh. Tekh. Fiz., 62:3 (2021), 5–14; J. Appl. Mech. Tech. Phys., 62:3 (2021), 351–360
Citation in format AMSBIB
\Bibitem{MelShu21}
\by S.~V.~Meleshko, E.~Shul'tz
\paper Application of the method of differential constraints to systems of equations written in Riemann invariants
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2021
\vol 62
\issue 3
\pages 5--14
\mathnet{http://mi.mathnet.ru/pmtf164}
\crossref{https://doi.org/10.15372/PMTF20210301}
\elib{https://elibrary.ru/item.asp?id=46271088}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2021
\vol 62
\issue 3
\pages 351--360
\crossref{https://doi.org/10.1134/S0021894421030019}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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