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arXiv · 0806.4902

Smoothing Effects for Navier-Stokes Equations

Jamel Benameur
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Abstract

We prove some smoothing effects for the 3-D Navier-Stokes equations for initial data belonging to the critical Sobolev space $H^{1/2}(\R^3)$. Asymptotic behavior of the global solution when the time goes to infinity is studied. We also obtain a new energy estimate. Other results in this direction and with different methods can be found in \cite{C4}.

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Jamel Benameur. 2008-06-30. Smoothing Effects for Navier-Stokes Equations. https://arxiv.org/abs/0806.4902

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