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Contemporary Mathematics. Fundamental Directions, 2016, Volume 60, Pages 23–81 (Mi cmfd295)  
This article is cited in 4 scientific papers (total in 4 papers)

On the nature of local equilibrium in the Carleman and Godunov–Sultangazin equations

O. A. Vasil'evaa, S. A. Dukhnovskiia, E. V. Radkevichb

a Moscow State University of Civil Engineering, Moscow, Russia
b Lomonosov Moscow State University, Moscow, Russia
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Abstract: Considering one-dimensional Carleman and Godunov–Sultangazin equations, we obtain the local equilibrium conditions for solutions of the Cauchy problem with finite energy and periodic initial data. Moreover, we prove the exponential stabilization to the equilibrium state.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-03587
09-01-12024
Document Type: Article
UDC: 517+517.9+536
Language: Russian
Citation: O. A. Vasil'eva, S. A. Dukhnovskii, E. V. Radkevich, “On the nature of local equilibrium in the Carleman and Godunov–Sultangazin equations”, Proceedings of the Seventh International Conference on Differential and Functional-Differential Equations (Moscow, August 22–29, 2014). Part 3, CMFD, 60, PFUR, M., 2016, 23–81
Citation in format AMSBIB
\Bibitem{VasDukRad16}
\by O.~A.~Vasil'eva, S.~A.~Dukhnovskii, E.~V.~Radkevich
\paper On the nature of local equilibrium in the Carleman and Godunov--Sultangazin equations
\inbook Proceedings of the Seventh International Conference on Differential and Functional-Differential Equations (Moscow, August 22--29, 2014). Part~3
\serial CMFD
\yr 2016
\vol 60
\pages 23--81
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd295}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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