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The well-posedness issue for the density-dependent Euler equations in endpoint Besov spaces

✍ Scribed by Raphaël Danchin; Francesco Fanelli

Book ID
113796168
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
258 KB
Volume
96
Category
Article
ISSN
0021-7824

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On the well-posedness of the Euler equat
On the well-posedness of the Euler equations in the Triebel-Lizorkin spaces
✍ Dongho Chae 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 212 KB

## 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