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arxiv: 1309.3496 · v1 · pith:LIV3PVKGnew · submitted 2013-09-13 · 🧮 math.AP

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

classification 🧮 math.AP
keywords hyperbolicnavier-stokesuniquenessarticlebreakdownequationequationsformulate
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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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