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

Chi Hin Chan; Magdalena Czubak

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arXiv · 1309.3496

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

Chi Hin Chan·Magdalena Czubak

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Abstract

The Leray-Hopf solutions to the Navier-Stokes equation are known to be unique on $\R^{2}$. 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.

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Chi Hin Chan, Magdalena Czubak. 2013-09-13. Remarks on the weak formulation of the Navier-Stokes equations on the 2D hyperbolic space. https://arxiv.org/abs/1309.3496

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