Journal of Mathematical Sciences

, Volume 235, Issue 4, pp 392–454 | Cite as

On the Nature of Local Equilibrium in the Carleman and Godunov–Sultangazin Equations

  • O. A. Vasil’evaEmail author
  • S. A. Dukhnovskii
  • E. V. Radkevich


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.


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • O. A. Vasil’eva
    • 1
    Email author
  • S. A. Dukhnovskii
    • 1
  • E. V. Radkevich
    • 2
  1. 1.Moscow State University of Civil EngineeringMoscowRussia
  2. 2.M. V. Lomonosov Moscow State UniversityMoscowRussia

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