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

doi:10.1016/j.anihpc.2015.01.002

標題:	Remarks on the weak formulation of the Navier-Stokes equations on the 2D hyperbolic space
作者:	Chan, Chi Hin Czubak, Magdalena 應用數學系 Department of Applied Mathematics
關鍵字:	Navier-Stokes;Leray-Hopf;Non-uniqueness;Uniqueness;Hyperbolic space;Harmonic forms
公開日期:	6-May-2016
摘要:	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.
URI:	http://dx.doi.org/10.1016/j.anihpc.2015.01.002 http://hdl.handle.net/11536/133794
ISSN:	0294-1449
DOI:	10.1016/j.anihpc.2015.01.002
期刊:	ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
Volume:	33
Issue:	3
起始頁:	655
結束頁:	698
Appears in Collections:	Articles