Asymptotic Stability of Equilibrium States for Carleman and Godunov-Sultangazin Systems of Equations


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access 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

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2019 Allerton Press, Inc.