Global regularity for the supercritical dissipative quasi-geostrophic equation with large dispersive forcing

Details Global regularity for the supercritical dissipative quasi-geostrophic equation with large dispersive forcing Global regularity for the supercritical dissipative quasi-geostrophic equation with large dispersive forcing

2011-08-29

arxiv.org/abs/1108.5554v1

Mathematics

Analysis of PDEs

26pages

Scientific paper

We consider the 2D quasi-geostrophic equation with supercritical dissipation and dispersive forcing in the whole space. When the dispersive amplitude parameter is large enough, we prove the global well-posedness of strong solution to the equation with large initial data. We also show the strong convergence result as the amplitude parameter goes to $\infty$. Both results rely on the Strichartz-type estimates for the corresponding linear equation.

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