Email this article On the Nature of Local Equilibrium in the Carleman and Godunov–Sultangazin Equations
- Authors: Vasil’eva O.A.1, Dukhnovskii S.A.1, Radkevich E.V.2
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Affiliations:
- Moscow State University of Civil Engineering
- M. V. Lomonosov Moscow State University
- Issue: Vol 235, No 4 (2018)
- Pages: 392-454
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242131
- DOI: https://doi.org/10.1007/s10958-018-4080-x
- ID: 242131
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Abstract
We consider one-dimensional Carleman and Godunov–Sultangazin equations and obtain 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.
About the authors
O. A. Vasil’eva
Moscow State University of Civil Engineering
Author for correspondence.
Email: vasiljeva.ovas@yandex.ru
Russian Federation, Moscow
S. A. Dukhnovskii
Moscow State University of Civil Engineering
Email: vasiljeva.ovas@yandex.ru
Russian Federation, Moscow
E. V. Radkevich
M. V. Lomonosov Moscow State University
Email: vasiljeva.ovas@yandex.ru
Russian Federation, Moscow
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