Notes on Liouville type Theorems for the stationary compressible Navier-Stokes equations

preprint2020arXivOpen access

Abstract

In this paper, we investigate the three dimensional stationary compressible Navier-Stokes equations, and obtain Liouville type theorems if a smooth solution (ρ,u)(ρ, \mathbf{u}) satisfies some suitable conditions. In particular, our results improve and generalize the corresponding result of Li and Yu (2014) [8].

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