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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Volume 300, Pages 65–75
DOI: https://doi.org/10.1134/S0371968518010041 (Mi tm3859) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Small-amplitude discontinuities of solutions to equations of continuum mechanics

A. N. Golubyatnikov

Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia
Full-text PDF (181 kB) Citations (4)
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DOI: https://doi.org/10.1134/S0371968518010041
Abstract: A general approach is developed for problems of propagation of weak discontinuities against a known background for systems of hyperbolic equations that can be represented in a variational form. A weak shock wave is considered as an approximation to a solution containing a weak discontinuity. This method is applicable to the description of various adiabatic processes in continuum mechanics in the presence of variable force fields.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-00361
17-01-00037
This work was supported in part by the Russian Foundation for Basic Research, project nos. 15-01-00361 and 17-01-00037.
Received: October 9, 2017
English version:
Proceedings of the Steklov Institute of Mathematics, 2018, Volume 300, Pages 56–67
DOI: https://doi.org/10.1134/S0081543818010042
Bibliographic databases:
Document Type: Article
UDC: 533.95
Language: Russian
Citation: A. N. Golubyatnikov, “Small-amplitude discontinuities of solutions to equations of continuum mechanics”, Modern problems and methods in mechanics, Collected papers. On the occasion of the 110th anniversary of the birth of Academician Leonid Ivanovich Sedov, Trudy Mat. Inst. Steklova, 300, MAIK Nauka/Interperiodica, Moscow, 2018, 65–75; Proc. Steklov Inst. Math., 300 (2018), 56–67
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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