首页>
外文期刊>Journal of mathematical sciences
>ON THE RATE OF STABILIZATION OF SOLUTIONS TO THE CAUCHY PROBLEM FOR THE GODUNOV-SULTANGAZIN SYSTEM WITH PERIODIC INITIAL DATA
【24h】
ON THE RATE OF STABILIZATION OF SOLUTIONS TO THE CAUCHY PROBLEM FOR THE GODUNOV-SULTANGAZIN SYSTEM WITH PERIODIC INITIAL DATA
展开▼
机译:基于周期性初始数据的解的稳定率和 Te Kaukay 问题 Forte Godunov-Sultangadin 系统
In this paper, we examine a one-dimensional system of equations for a discrete gas model (the Godunov–Sultangazin system). The Godunov–Sultangazin system is the Boltzmann kinetic equation for a model one-dimensional gas consisting of three groups of particles. In this model, the momentum is preserved whereas the energy is not. We prove the existence of a unique global solution to the Cauchy problem for a perturbation of the equilibrium state with periodic initial data. For the first time, we find the rate of stabilization to the equilibrium state (exponential stabilization).
展开▼