Email this article Asymptotic Stability of Equilibrium States for Carleman and Godunov-Sultangazin Systems of Equations
- Authors: Dukhnovskii S.A.1
-
Affiliations:
- Department of Applied Mathematics
- Issue: Vol 74, No 6 (2019)
- Pages: 246-248
- Section: Brief Communication
- URL: https://journals.rcsi.science/0027-1322/article/view/164897
- DOI: https://doi.org/10.3103/S0027132219060068
- ID: 164897
Cite item
Open Access
Access granted
Subscription Access
Abstract
One-dimensional systems of Carleman and Godunov-Sultangazin are studied for two and three groups of particles, respectively. These systems are a special case of the discrete Boltzmann kinetic equation. Theorems on existence of global solution to these systems for perturbations in the weighted Sobolev space are presented. Thus, an exponential stabilization to the equilibrium state is obtained.
About the authors
S. A. Dukhnovskii
Department of Applied Mathematics
Author for correspondence.
Email: sergeidukhnvskijj@rambler.ru
Russian Federation, 26, Yaroslavskoye Shosse, Moscow, 129337
