临界状态下Navier-Stokes-Korteweg线性系统的稳定性
Stability of the Navier-Stokes-Korteweg Linear System in the Critical State
陆富强 1刘梅1
作者信息
- 1. 贵州师范大学 数学科学学院,贵州 贵阳 550025
- 折叠
摘要
考虑了在临界状态下给定初始值的Navier-Stokes-Korteweg线性系统稳定性问题.通过构造能量不等式得到了该线性系统的解对给定初值的依赖性,从而证明了该线性系统的稳定性.对于该问题的研究有助于帮助了解其复杂的物理背景与物理形成机制.
Abstract
In this paper,the stability of the Navier-Stokes-Korteweg linear system for a given initial value in the critical state is considered,and the dependence of the solution of the linear system on the given initial value is ob-tained by constructing the energy inequality,so as to prove the stability of the linear system.The study of this problem is helpful to understand its complex physical background and physical formation mechanism.
关键词
Navier-Stokes-Korteweg系统/能量不等式/稳定性Key words
Navier-Stokes-Korteweg system/energy inequalities/stability引用本文复制引用
基金项目
贵州师范大学学术新苗基金(黔师新苗[2022]03)
出版年
2024
NETL
NSTL
维普
万方数据