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Ill-posedness of the two-dimensional Keller–Segel model in Triebel–Lizorkin spaces

✍ Scribed by Deng, Chao; Villavert, John


Book ID
121436825
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
424 KB
Volume
95
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