论文标题

与一般边界条件的Brotropic Navier-Stokes系统的全球边界轨迹

Globally bounded trajectories for the barotropic Navier-Stokes system with general boundary conditions

论文作者

Brezina, Jan, Feireisl, Eduard, Novotny, Antonin

论文摘要

我们考虑了正压系统 - 稳定的系统,描述了通过一般in/out通量边界条件与外部世界相互作用的粘性压缩流体的运动。我们考虑使用硬型压力EOS,并表明所有轨迹最终都进入有界的吸收集。特别是,相关的欧米茄限制集是紧凑的,并支持固定统计解决方案。

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 omega-limit sets are compact and support a stationary statistical solution.

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