Stability of the Navier-Stokes-Korteweg Linear System in the Critical State
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.