No local double exponential gradient growth in hyperbolic flow for the 2d Euler equation

We consider smooth, double-odd solutions of the two-dimensional Euler equation in [-1, 1)^2 with periodic boundary conditions. This situation is a possible candidate to exhibit strong gradient growth near the origin. We analyze the flow in a small box around the origin in a strongly hyperbolic regim...

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Veröffentlicht in:Transactions of the American Mathematical Society 2017-10, Vol.369 (10), p.7169-7211
Hauptverfasser: HOANG, VU, RADOSZ, MARIA
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
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