Geodesic
Constructing unbounded discontinuous solutions of scalar conservation laws using the Legendre transform
Sbornik. Mathematics, Tome 212 (2021) no. 4, pp. 475-489

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A first-order quasilinear equation with an odd flux function that has a single point of inflexion at zero is studied. A method for constructing sign-alternating discontinuous entropy solutions of this equation, based on the Legendre transform, is proposed. Bibliography: 18 titles.
Keywords: one-dimensional conservation laws, entropy solutions
Mots-clés : Legendre transform. 
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     title = {Constructing unbounded discontinuous solutions of scalar conservation laws using the {Legendre} transform},
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L. V. Gargyants; A. Yu. Goritsky; E. Yu. Panov. Constructing unbounded discontinuous solutions of scalar conservation laws using the Legendre transform. Sbornik. Mathematics, Tome 212 (2021) no. 4, pp. 475-489. http://geodesic.mathdoc.fr/item/SM_2021_212_4_a1/