Remarks on the weak formulation of the Navier-Stokes equations on the 2D hyperbolic space
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10.1016/j.anihpc.2015.01.002
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. (C) 2015 Elsevier Masson SAS. All rights reserved.