Local-in-time existence of a free-surface 3D Euler flow with H 2+δ initial vorticity in a neighborhood of the free boundary

We consider the three-dimensional Euler equations in a domain with a free boundary with no surface tension. We assume that u 0 ∈ H 2.5 + δ is such that c u r l u 0 ∈ H 2 + δ in an arbitrarily small neighborhood of the free boundary, and we use the Lagrangian approach to derive an a priori estimate t...

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Veröffentlicht in:	Nonlinearity 2023-01, Vol.36 (1), p.636-652
Hauptverfasser:	Kukavica, I, Ożański, W S
Format:	Artikel
Sprache:	eng
Schlagworte:	35Q31 35R35 Euler equations free boundary Lagrangian coordinates
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