Email this article Uniqueness of self-similar solutions to the Riemann problem for the Hopf equation with complex nonlinearity
- Authors: Kulikovskii A.G.1, Chugainova A.P.1, Shargatov V.A.2
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Affiliations:
- Steklov Mathematical Institute
- National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
- Issue: Vol 56, No 7 (2016)
- Pages: 1355-1362
- Section: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/178584
- DOI: https://doi.org/10.1134/S0965542516070113
- ID: 178584
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Abstract
Solutions of the Riemann problem for a generalized Hopf equation are studied. The solutions are constructed using a sequence of non-overturning Riemann waves and shock waves with stable stationary and nonstationary structures.
About the authors
A. G. Kulikovskii
Steklov Mathematical Institute
Author for correspondence.
Email: kulik@mi.ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991
A. P. Chugainova
Steklov Mathematical Institute
Email: kulik@mi.ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991
V. A. Shargatov
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Email: kulik@mi.ras.ru
Russian Federation, Kashirskoe sh. 31, Moscow, 115409
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