Email this article Long time asymptotics of periodic generalized entropy solutions of scalar conservation laws
- Authors: Panov E.Y.1,2
-
Affiliations:
- Yaroslav Mudryi Novgorod State University
- St. Petersburg State University
- Issue: Vol 100, No 1-2 (2016)
- Pages: 113-122
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149574
- DOI: https://doi.org/10.1134/S0001434616070105
- ID: 149574
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Abstract
We prove that the periodic generalized entropy solution of a one-dimensional conservation law converges in time to a traveling wave. In this case, the flow function is linear on the minimal interval containing the essential image of the traveling wave profile and the wave velocity coincides with the angular coefficient of the flow function bounded on this interval.
About the authors
E. Yu. Panov
Yaroslav Mudryi Novgorod State University; St. Petersburg State University
Author for correspondence.
Email: Eugeny.Panov@novsu.ru
Russian Federation, Novgorod; St. Petersburg
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