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Contemporary Mathematics. Fundamental Directions, 2016, Volume 60, Pages 23–81
(Mi cmfd295)
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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
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.
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
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https://www.mathnet.ru/eng/cmfd295 https://www.mathnet.ru/eng/cmfd/v60/p23
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Abstract page: | 716 | Full-text PDF : | 182 | References: | 50 |
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