Remarks on the Global Regularity for the Super-Critical 2D Dissipative Quasi-Geostrophic Equation

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dc.creatorYu, Xinwei
dc.date2006-11-09
dc.date.accessioned2026-07-07T07:32:43Z
dc.date.available2026-07-07T07:32:43Z
dc.descriptionIn this article we apply the method used in the recent elegant proof by Kiselev, Nazarov and Volberg of the well-posedness of critically dissipative 2D quasi-geostrophic equation to the super-critical case. We prove that if the initial value is smooth and periodic, and $\left\| \nabla θ_0 \right\|_{L^{\infty}}^{1 - 2 s} \left\| θ_0 \right\|_{L^{\infty}}^{2 s}$ is small, where $s$ is the power of the fractional Laplacian, then no finite time singularity will occur for the super-critically dissipative 2D quasi-geostrophic equation.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0611283
dc.identifierhttp://arxiv.org/abs/math/0611283
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119208
dc.subjectAnalysis of PDEs
dc.titleRemarks on the Global Regularity for the Super-Critical 2D Dissipative Quasi-Geostrophic Equation
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