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- W2006455026 abstract "Motivated by the critical dissipative quasi-geostrophic equation, we prove that drift-diffusion equations with L 2 initial data and minimal assumptions on the drift are locally Holder continuous. As an application we show that solutions of the quasi-geostrophic equation with initial L 2 data and critical diffusion (-Δ) 1/2 are locally smooth for any space dimension." @default.
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- W2006455026 date "2010-04-25" @default.
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- W2006455026 title "Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation" @default.
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- W2006455026 doi "https://doi.org/10.4007/annals.2010.171.1903" @default.
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