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

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

2009-08-06

arxiv.org/abs/0908.0925v1

Mathematics

Analysis of PDEs

6 pages

Scientific paper

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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