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On Vorticity Directions near Singularities for the Navier-Stokes Flows with Infinite Energy

✍ Scribed by Yoshikazu Giga; Hideyuki Miura

Publisher
Springer
Year
2011
Tongue
English
Weight
209 KB
Volume
303
Category
Article
ISSN
0010-3616

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## Abstract Let T=ℝ×(‐1,1) and &ℴ⊂ℝ^2^ be a smoothly bounded open set, closure of which is contained in __T__. We consider the stationary Navier–Stokes flows in $\Omega {:=} T \backslash \bar{\scriptstyle{O}}$. In general, the pressure is determined up to a constant. Since Ω has two extremities, we