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

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 نشر من قبل Changxing Miao
 تاريخ النشر 2011
  مجال البحث فيزياء
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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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