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

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.

6 pages

References in corpus (3)

• Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
• Blow up and regularity for fractal Burgers equation
• Local and Nonlocal Dispersive Turbulence

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