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Liouville-type theorems for steady solutions of the barotropic Navier--Stokes system

Analysis of PDEs 2024-12-24 v1

Abstract

We establish various results concerning the uniqueness of zero velocity solutions for the static barotropic Navier--Stokes system. Some of them can be seen as Liouville-type theorems for problems in unbounded physical space.

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Cite

@article{arxiv.2412.17585,
  title  = {Liouville-type theorems for steady solutions of the barotropic Navier--Stokes system},
  author = {Youseung Cho and Eduard Feireisl and Minsuk Yang},
  journal= {arXiv preprint arXiv:2412.17585},
  year   = {2024}
}

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27 pages