可压Navier-Stokes-Poisson方程组的渐近性

Asymptotic Behavior of the Compressible Navier-Stokes-Poisson Equations

研究了等离子体物理科学中的三维可压Navier-Stokes-Poisson方程初边值问题解的整体存在性与长时间渐近性,使用精细的能量估计证明了当初值是稳态解的小扰动时该问题存在唯一整体光滑解,而且当t→∞时该整体光滑解以指数速率趋于稳态解.

The authors studied the large time asymptotical behaviors of the smooth solutions to the initial boundary value problems for the three dimensional compressible Navier-Stokes-Poisson equations in plasma physics.By using the classical energy methods,it is proved that there exists a unique global and smooth solution to the initial-boundary value problems for the 3D compressible Navier-Stokes-Poisson equations which converges to a stationary solution exponentially fast as t→∞ when the initial data is near its equilibrium.