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Global well-posedness of the 2D critical dissipative quasi-geostrophic equation in the Triebel–Lizorkin spaces

✍ Scribed by Qionglei Chen; Zhifei Zhang


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
265 KB
Volume
67
Category
Article
ISSN
0362-546X

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## Abstract We prove local‐in‐time unique existence and a blowup criterion for solutions in the Triebel‐Lizorkin space for the Euler equations of inviscid incompressible fluid flows in ℝ^__n__^, __n__ ≥ 2. As a corollary we obtain global persistence of the initial regularity characterized by the Tr