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

Analysis of PDEs 2020-09-10 v1 Mathematical Physics math.MP

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)(\rho, \mathbf{u}) satisfies some suitable conditions. In particular, our results improve and generalize the corresponding result of Li and Yu (2014) [8].

Keywords

Cite

@article{arxiv.2009.04150,
  title  = {Notes on Liouville type Theorems for the stationary compressible Navier-Stokes equations},
  author = {Zhouyu Li and Pengcheng Niu},
  journal= {arXiv preprint arXiv:2009.04150},
  year   = {2020}
}