可压Navier-Stokes系统的小马赫数极限问题是流体力学中一个基本且关键的问题。除了极限的收敛性，在极限过程中，方程的解发生的一些反常行为也开始受到越来越多的关注。. 本项目将通过研究变系数完全可压Navier-Stokes系统和其零马赫极限系统解的性态以及相应的小马赫极限来说明当马赫数充分小时，可压Navier-Stokes系统的解具有类似稀薄气体的反常行为。进一步，我们将通过解的大时间行为和稳态系统的研究来分析这些行为的稳定性。. 我们的研究将说明：当马赫数很小的时候，可压Navier-Stokes系统描述的连续介质和稀薄气体是具有某些共性的，具有重要的理论和实际意义。

The low Mach number limit problem for compressible Navier-Stokes systems is a fundamental and crucial issue in fluid mechanics. In addition to the convergence of the limit, some anomalous behaviors of solutions occurring in the limit are also getting more and more attention.. By studying the behaviors of solutions of the full compressible Navier-Stokes equations with variable coefficients and their zero Mach limit system and the corresponding low Mach limit, this project will show that when the Mach number is sufficiently small, the solutions of the compressible Navier-Stokes system have some anomalous behaviors similar to rarefied gas. Furthermore, we will analyze the stability of such anomalous behaviors by studying the large time behaviors of solutions and the steady-state systems.. Our research will clarify that the continuum medium describing by the compressible Navier-Stokes equations and the rarefied gas have some commonalities when the Mach number is small, which is of great theoretical and practical significance.