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Fundamentalnaya i Prikladnaya Matematika, 2006, Volume 12, Issue 6, Pages 213–229 (Mi fpm997)  
This article is cited in 4 scientific papers (total in 4 papers)

The Rankine–Hugoniot conditions and balance laws for $\delta$-shocks

V. M. Shelkovich

St. Petersburg State University of Architecture and Civil Engineering
Full-text PDF (189 kB) Citations (4)
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Abstract: New definitions of $\delta$-shock wave-type solutions are introduced for two (one-dimensional) types of hyperbolic systems of conservation laws. Corresponding Rankine–Hugoniot conditions for $\delta$-shocks are derived, and their geometrical interpretation is given. Balance laws connected with “area,” mass, and momentum transportation for $\delta$-shocks are derived.
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 151, Issue 1, Pages 2781–2792
DOI: https://doi.org/10.1007/s10948-008-0173-y
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: V. M. Shelkovich, “The Rankine–Hugoniot conditions and balance laws for $\delta$-shocks”, Fundam. Prikl. Mat., 12:6 (2006), 213–229; J. Math. Sci., 151:1 (2008), 2781–2792
Citation in format AMSBIB
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\by V.~M.~Shelkovich
\paper The Rankine--Hugoniot conditions and balance laws for $\delta$-shocks
\jour Fundam. Prikl. Mat.
\yr 2006
\vol 12
\issue 6
\pages 213--229
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\zmath{https://zbmath.org/?q=an:1151.35400}
\elib{https://elibrary.ru/item.asp?id=11143816}
\transl
\jour J. Math. Sci.
\yr 2008
\vol 151
\issue 1
\pages 2781--2792
\crossref{https://doi.org/10.1007/s10948-008-0173-y}
\elib{https://elibrary.ru/item.asp?id=13592582}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-42449161093}
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  • https://www.mathnet.ru/eng/fpm/v12/i6/p213
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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