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Global $\dot H^1 \cap \dot H^{-1}$ solutions to a logarithmically regularized 2D Euler equation (1210.0605v1)
Published 2 Oct 2012 in math.AP
Abstract: We construct global $\dot H1\cap \dot H{-1}$ 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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