Abstract We consider the barotropic Navier–Stokes system describing the motion of a viscous compressible fluid interacting with the outer world through general in/out flux boundary conditions. We consider a hard-sphere type pressure EOS and show that all trajectories eventually enter a bounded absorbing set. In particular, the associated limit sets are compact and support a stationary statistical solution.

中文翻译：

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具有一般边界条件的正压 Navier-Stokes 系统的全局有界轨迹

摘要 我们考虑正压 Navier-Stokes 系统，该系统描述了通过一般的输入/输出通量边界条件与外部世界相互作用的粘性可压缩流体的运动。我们考虑硬球型压力 EOS 并表明所有轨迹最终都会进入一个有界吸收集。特别是，相关的限制集是紧凑的，并支持平稳的统计解决方案。