$On the Hausdorff dimension of singular sets for the Leray- Navier-Stokes equations with fractional regularization$

On the Hausdorff dimension of singular sets for the Leray- Navier-Stokes equations with fractional regularization

We consider a family of Leray- models with periodic boundary conditions in three space dimensions. Such models are a regularization, with respect to a parameter , of the Navier-Stokes equations. In particular, they share with the original equation (NS) the property of existence of global weak soluti...

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Veröffentlicht in:	Dynamics of partial differential equations 2012, Vol.9 (3), p.261-271
Hauptverfasser:	Ali, Hani, Ammari, Zied
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis of PDEs Mathematics
Online-Zugang:	Volltext
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