Global well-posedness for the 2 D quasi-geostrophic equation in a critical Besov space
classification
🧮 math.AP
keywords
criticalequationglobalquasi-geostrophicspaceal-1belongsbesov
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We show that the the 2 D quasi-geostrophic equation has global and unique strong solution, when the (large) data belongs in the critical, scale invariant space $\dot{B}^{2-2\al}_{2, \infty}\cap L^{2/(2\al-1)}$.
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