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Matematicheskie Zametki, 2018, Volume 103, Issue 6, Pages 875–883
DOI: https://doi.org/10.4213/mzm11647 (Mi mzm11647) 		 
Two-Dimensional Shock Waves for a Model Problem

V. V. Palin

Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm11647
Abstract: The existence of nonclassical (two-dimensional) shock waves in Riemann's problem is proved for a modification of the system of shallow water equations.
Keywords: Riemann–Hugoniot catastrophe, nonstrictly hyperbolic system in the sense of Petrovskii, two-component modification of the system of shallow water equations.
Received: 19.04.2017
Revised: 23.05.2017
English version:
Mathematical Notes, 2018, Volume 103, Issue 6, Pages 936–942
DOI: https://doi.org/10.1134/S0001434618050309
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. V. Palin, “Two-Dimensional Shock Waves for a Model Problem”, Mat. Zametki, 103:6 (2018), 875–883; Math. Notes, 103:6 (2018), 936–942
Citation in format AMSBIB
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    		Математические заметки Mathematical Notes
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