可压缩Navier-Stokes-Poisson方程的线性稳定性

Linear stability of compressible Navier-Stokes-Poisson equations

本文利用稳定性交換准则理论(PES)研究含磁场耦合的可压缩Navier-Stokes-Poisson方程的线性稳定性.研究表明:当无量纲马赫数项1/λ<2π时,方程稳态解(1,0,H 0)是稳定的;当1/λ>2π时,方程的平凡稳态解是不稳定的.

This paper studies the linear stability of compressible Navier-Stokes-Poisson equation by using the principle of exchange of stabilities(PES).It is shown that when non-dimensional Mach number 1/λ<2π,with magnetic field term and the trivial steady state of equation is unstable when 1/λ>2π.