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

作　　者：陆富强 刘梅 LU Fuqiang;LIU Mei(School of Mathematical Sciences,Guizhou Normal University,Guiyang 550025,China)

机构地区：[1]贵州师范大学数学科学学院,贵州贵阳550025

出　　处：《兰州工业学院学报》2024年第2期102-104,共3页Journal of Lanzhou Institute of Technology

基　　金：贵州师范大学学术新苗基金项目(黔师新苗[2022]03)。

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.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 obtained 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 

分 类 号：O175[理学—数学]