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 ∞−-conservation of the vorticity.
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Communicated by D. Chae
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Dong, H., Li, D. Global \({{\dot{H}^1 \cap \dot{H}^{-1}}}\) Solutions to a Logarithmically Regularized 2D Euler Equation. J. Math. Fluid Mech. 17, 1–7 (2015). https://doi.org/10.1007/s00021-014-0195-0
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DOI: https://doi.org/10.1007/s00021-014-0195-0