O. A. Vasil'eva, S. A. Dukhnovskii, E. V. Radkevich, “On the nature of local equilibrium in the Carleman and Godunov–Sultangazin equations”, CMFD, 2016, Volume 60,Pages <nobr>23

This article is cited in 4 papers

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

O. A. Vasil'eva^a, S. A. Dukhnovskii^a, E. V. Radkevich^b

^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.

UDC: 517+517.9+536