Global $\dot H^1 \cap \dot H^{-1}$ solutions to a logarithmically regularized 2D Euler equation

Published 2 Oct 2012 in math.AP | (1210.0605v1)

Abstract: We construct global $\dot H^1\cap \dot H^{-1}$ solutions to a logarithmically modified 2D Euler vorticity equation. Our main tool is a new logarithm interpolation inequality which exploits the $L^{{\infty-}$-conservation} of the vorticity.

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