论文标题

规则性标准和liouville定理,用于3D不均匀的Navier-Stokes用真空流动

Regularity criteria and Liouville Theorem for 3D inhomogeneous Navier-Stokes flows with vacuum

论文作者

Kim, Jae-Myoung

论文摘要

在本文中,我们研究了3D不均匀的Navier-Stokes用真空流动,并在Lorentz空间中获得规律性标准,如果平滑的解决方案$(ρ,\ Mathbf {U})$在Lorentz空间中键入定理,则满足适当的条件。

In this paper, we investigate the 3D inhomogeneous Navier-Stokes flows with vacuum, and obtain regularity criteria and Liouville type theorems in the Lorentz space if a smooth solution $(ρ, \mathbf{u})$ satisfies suitable conditions.

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