This article is cited in 1 paper

Two-Dimensional Shock Waves for a Model Problem

V. V. Palin

Lomonosov Moscow State University

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.

UDC: 517.9

Received: 19.04.2017
Revised: 23.05.2017

DOI: 10.4213/mzm11647

 English version: Mathematical Notes, 2018, 103:6, 936–942

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