Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation

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dc.creatorCaffarelli, L.
dc.creatorVasseur, A.
dc.date2006-08-17
dc.date.accessioned2026-07-07T07:21:54Z
dc.date.available2026-07-07T07:21:54Z
dc.descriptionMotivated 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.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/math/0608447
dc.identifierhttp://arxiv.org/abs/math/0608447
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115465
dc.subjectAnalysis of PDEs
dc.titleDrift diffusion equations with fractional diffusion and the quasi-geostrophic equation
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