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Liouville theorems for the Stationary Navier Stokes equation on a hyperbolic space

Analysis of PDEs 2015-01-21 v1

Abstract

The problem for the stationary Navier-Stokes equation in 3D under finite Dirichlet norm is open. In this paper we answer the analogous question on the 3D hyperbolic space. We also address other dimensions and more general manifolds.

Keywords

Cite

@article{arxiv.1501.04928,
  title  = {Liouville theorems for the Stationary Navier Stokes equation on a hyperbolic space},
  author = {Chi Hin Chan and Magdalena Czubak},
  journal= {arXiv preprint arXiv:1501.04928},
  year   = {2015}
}

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13 pages