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• W2950548337 abstract "We examine the regularity of weak solutions of quasi-geostrophic (QG) type equations with supercritical ($alpha 0$), and from H{o}lder to classical solutions. In the supercritical case, Leray-Hopf weak solutions can still be shown to be $L^infty$, but it does not appear that their approach can be easily extended to establish the H{o}lder continuity of $L^infty$ solutions. In order for their approach to work, we require the velocity to be in the H{o}lder space $C^{1-2alpha}$. Higher regularity starting from $C^delta$ with $delta>1-2alpha$ can be established through Besov space techniques and will be presented elsewhere cite{CW6}." @default.
• W2950548337 created "2019-06-27" @default.
• W2950548337 creator A5037968657 @default.
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• W2950548337 date "2007-01-21" @default.
• W2950548337 modified "2023-09-26" @default.
• W2950548337 title "Holder continuity of solutions of supercritical dissipative hydrodynamic transport equations" @default.
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