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On Distribution of Energy and Vorticity for Solutions of 2D Navier-Stokes Equation with Small Viscosity

✍ Scribed by Sergei B. Kuksin

Publisher
Springer
Year
2008
Tongue
English
Weight
272 KB
Volume
284
Category
Article
ISSN
0010-3616

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πŸ“œ SIMILAR VOLUMES

Level Sets of the Vorticity and the Stre
Level Sets of the Vorticity and the Stream Function for the 2D Periodic Navier–Stokes Equations with Potential Forces
✍ Igor Kukavica πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 578 KB

By a result of Foias and Saut, the quotient of the enstrophy and the energy of a solution of the Navier Stokes equations with potential forces converges to the square root of an eigenvalue 4 k of the Stokes operator. We study the Hausdorff length (H 1 ) of the level sets of the vorticity and the str