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This article is cited in 3 scientific papers (total in 3 papers)
Constructing unbounded discontinuous solutions of scalar conservation laws using the Legendre transform
L. V. Gargyantsa, A. Yu. Goritskyb, E. Yu. Panovcd a Bauman Moscow State Technical University, Moscow, Russia
b Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
c Yaroslav-the-Wise Novgorod State University, Velikii Novgorod, Russia
d Peoples' Friendship University of Russia, Moscow, Russia
Abstract:
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, Legendre transform.
Received: 20.02.2020
Citation:
L. V. Gargyants, A. Yu. Goritsky, E. Yu. Panov, “Constructing unbounded discontinuous solutions of scalar conservation laws using the Legendre transform”, Mat. Sb., 212:4 (2021), 29–44; Sb. Math., 212:4 (2021), 475–489
Linking options:
https://www.mathnet.ru/eng/sm9383https://doi.org/10.1070/SM9383 https://www.mathnet.ru/eng/sm/v212/i4/p29
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Abstract page: | 534 | Russian version PDF: | 110 | English version PDF: | 27 | Russian version HTML: | 158 | References: | 37 | First page: | 27 |
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