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

نویسندگان

  • Marco Cannone
  • Changxing Miao
  • Liutang Xue
چکیده

We consider the 2-dimensional 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 ∞. Both results rely on the Strichartz-type estimates for the corresponding linear equation.

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تاریخ انتشار 2013