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On the Helicity in 3D-Periodic Navier–Stokes Equations II: The Statistical Case

✍ Scribed by Ciprian Foias; Luan Hoang; Basil Nicolaenko


Publisher
Springer
Year
2009
Tongue
English
Weight
450 KB
Volume
290
Category
Article
ISSN
0010-3616

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Note on helicity balance of the Galerkin
✍ Maxim Olshanskii; Leo G. Rebholz 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 163 KB

We study the helicity balance of the Galerkin method for the 3D Navier-Stokes equations, and show that although it does not appear to correctly balance helicity in the usual sense, it instead admits a slightly altered helicity balance that matches that of the underlying physics, up to boundary condi