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Apr 13, 2015 at 16:02 comment added guacho Thank you for your answer! Actually, there are examples where $H$ does not decay (for instance, the parabolic-elliptic) Keller-Segel. Also, I would say that the regularity to preserve $L^2$ for the Euler flow and the regularity to preserve $LlogL$ is the same, $C^{1/3}$. Isn't it? With this I meant that there should be something else, not merely the monotonicity or well-behaviour. Am I right?
Apr 13, 2015 at 7:18 history answered Hachino CC BY-SA 3.0