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Matematicheskie Zametki, 2016, Volume 100, Issue 1, Pages 133–143
DOI: https://doi.org/10.4213/mzm11123 (Mi mzm11123) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Long Time Asymptotics of Periodic Generalized Entropy Solutions of Scalar Conservation Laws

E. Yu. Panovab

a Saint Petersburg State University
b Novgorod State University after Yaroslav the Wise
Full-text PDF (525 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm11123
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.
Keywords: conservation law, generalized entropy solution, stabilization property, traveling wave, measure-valued function, compensated compactness.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.857.2014/K
1.445.2016/ФПМ
Russian Foundation for Basic Research 15-01-07650-a
This work was supported by the Ministry of Education and Science of the Russian Federation (project nos. 1.857.2014/K and 1.445.2016/FPM) and by the Russian Foundation for Basic Research under grant 15-01-07650-a.
Received: 02.09.2015
English version:
Mathematical Notes, 2016, Volume 100, Issue 1, Pages 113–122
DOI: https://doi.org/10.1134/S0001434616070105
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: E. Yu. Panov, “Long Time Asymptotics of Periodic Generalized Entropy Solutions of Scalar Conservation Laws”, Mat. Zametki, 100:1 (2016), 133–143; Math. Notes, 100:1 (2016), 113–122
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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