Nonexistence of simple hyperbolic blow-up for the quasi-geostrophic equation
type: Item
instance of: scholarly article
title: Nonexistence of simple hyperbolic blow-up for the quasi-geostrophic equation
zbMATH Open document ID: 0920.35109
DOI: 10.2307/121037
author: Diego Córdoba
published in: Annals of Mathematics. Second Series
publication date: 1999-03-22T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/9811184
full work available at URL: https://eudml.org/doc/119907
full work available at URL: 148 3.html
review text: The author considers a two-dimensional active scalar model for the 3D Euler vorticity equation. One defines a naturally associated notion of simple hyperbolic saddle breakdown and it is shown that such a breakdown cannot occur in finite time.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76B47
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 1267825
zbMATH Keywords: Euler vorticity equation
zbMATH Keywords: quasi-geostrophic equation
zbMATH Keywords: singularity
zbMATH Keywords: stream function
reviewed by: Valeriu Al. Sava
MaRDI profile type: Publication
OpenAlex ID: W2166763944
arXiv ID: math/9811184
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description: scientific article