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arXiv · 0908.0925

Global Regularity for the Critical Dispersive Dissipative Surface Quasi-Geostrophic Equation

Alexander Kiselev·Fedor Nazarov
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Abstract

We consider surface quasi-geostrophic equation with dispersive forcing and critical dissipation. We prove global existence of smooth solutions given sufficiently smooth initial data. This is done using a maximum principle for the solutions involving conservation of a certain family of moduli of continuity.

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Alexander Kiselev, Fedor Nazarov. 2009-08-06. Global Regularity for the Critical Dispersive Dissipative Surface Quasi-Geostrophic Equation. https://doi.org/10.1088/0951-7715%2F23%2F3%2F006

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