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Matematicheskie Zametki, 2022, Volume 112, Issue 4, Pages 625–640
DOI: https://doi.org/10.4213/mzm13583 (Mi mzm13583) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Inheritance of Generic Singularities of Solutions of a Linear Wave Equation by Solutions of Isoentropic Gas Motion Equations

B. I. Suleimanov, A. M. Shavlukov

Institute of Mathematics with Computing Centre, Ufa Federal Research Centre, Russian Academy of Sciences, Ufa
Full-text PDF (601 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm13583
Abstract: It is shown that the catastrophe germs of smooth mappings determining the three generic (in the sense of mathematical catastrophe theory) singularities of solutions of systems of equations for a one-dimensional isoentropic gas coincide with the germs corresponding to similar singularities of solutions of a linear wave equation with constant coefficients. The conjecture is put forth that such an inheritance for generic singularities of solutions of systems of equations for a isoentropic gas must also take place in spatially multidimensional cases.
Keywords: catastrophe theory, gas dynamics equations, shallow water equations.
Funding agency Grant number
Russian Science Foundation 21-11-00006
The work of A. M. Shavlukov was supported by the Russian Science Foundation under grant 21-11-00006, https://rscf.ru/project/21-11-00006/.
Received: 13.05.2022
English version:
Mathematical Notes, 2022, Volume 112, Issue 4, Pages 608–620
DOI: https://doi.org/10.1134/S0001434622090292
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: B. I. Suleimanov, A. M. Shavlukov, “Inheritance of Generic Singularities of Solutions of a Linear Wave Equation by Solutions of Isoentropic Gas Motion Equations”, Mat. Zametki, 112:4 (2022), 625–640; Math. Notes, 112:4 (2022), 608–620
Citation in format AMSBIB
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\by B.~I.~Suleimanov, A.~M.~Shavlukov
\paper Inheritance of Generic Singularities of Solutions of a Linear Wave Equation by Solutions of Isoentropic Gas Motion Equations
\jour Mat. Zametki
\yr 2022
\vol 112
\issue 4
\pages 625--640
\mathnet{http://mi.mathnet.ru/mzm13583}
\crossref{https://doi.org/10.4213/mzm13583}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4538794}
\transl
\jour Math. Notes
\yr 2022
\vol 112
\issue 4
\pages 608--620
\crossref{https://doi.org/10.1134/S0001434622090292}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85140593518}
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    • This publication is cited in the following 2 articles:
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