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期刊论文
Global regularity for the supercritical dissipative quasi-geostrophic equation with large dispersive forcing
Proc. London Math. Soc.,2013,106(3): 650–674 | 2013年05月05日 | 10.1112/plms/pds046
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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