Two-Dimensional Shock Waves for a Model Problem
Matematičeskie zametki, Tome 103 (2018) no. 6, pp. 875-883

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The existence of nonclassical (two-dimensional) shock waves in Riemann's problem is proved for a modification of the system of shallow water equations.
Mots-clés : Riemann–Hugoniot catastrophe
Keywords: nonstrictly hyperbolic system in the sense of Petrovskii, two-component modification of the system of shallow water equations.
@article{MZM_2018_103_6_a6,
     author = {V. V. Palin},
     title = {Two-Dimensional {Shock} {Waves} for a {Model} {Problem}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {875--883},
     publisher = {mathdoc},
     volume = {103},
     number = {6},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_103_6_a6/}
}
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V. V. Palin. Two-Dimensional Shock Waves for a Model Problem. Matematičeskie zametki, Tome 103 (2018) no. 6, pp. 875-883. http://geodesic.mathdoc.fr/item/MZM_2018_103_6_a6/