Mathematics – Analysis of PDEs
Scientific paper
2008-06-30
Mathematics
Analysis of PDEs
13 pages, submitted
Scientific paper
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}.
Benameur Jamel
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