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Remarks on the weak formulation of the Navier-Stokes equations on the 2D hyperbolic space

Analysis of PDEs 2013-09-16 v1

Abstract

The Leray-Hopf solutions to the Navier-Stokes equation are known to be unique on R2\R^{2}. In our previous work we showed the breakdown of uniqueness in a hyperbolic setting. In this article, we show how to formulate the problem in order so the uniqueness can be restored.

Keywords

Cite

@article{arxiv.1309.3496,
  title  = {Remarks on the weak formulation of the Navier-Stokes equations on the 2D hyperbolic space},
  author = {Chi Hin Chan and Magdalena Czubak},
  journal= {arXiv preprint arXiv:1309.3496},
  year   = {2013}
}

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49 pages