The Rankine-Hugoniot conditions and balance laws for δ-shocks

New definitions of δ -shock-wave-type solutions are introduced for two (one-dimensional) types of hyperbolic systems of conservation laws. The corresponding Rankine-Hugoniot conditions for δ -shocks are derived and their geometrical interpretation is given. Balance laws connected with “area” mass an...

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Veröffentlicht in:	Journal of mathematical sciences (New York, N.Y.) N.Y.), 2008-05, Vol.151 (1), p.2781-2792
1. Verfasser:	Shelkovich, V. M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Conservation laws Hyperbolic systems Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	New definitions of δ -shock-wave-type solutions are introduced for two (one-dimensional) types of hyperbolic systems of conservation laws. The corresponding Rankine-Hugoniot conditions for δ -shocks are derived and their geometrical interpretation is given. Balance laws connected with “area” mass and momentum transportation for δ -shocks are derived.
ISSN:	1072-3374 1573-8795
DOI:	10.1007/s10948-008-0173-y