Annals of Mathematics, II. Series, Vol. 148, No. 3, pp. 1135-1152, 1998

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Annals of Mathematics, II. Series
Vol. 148, No. 3, pp. 1135-1152 (1998)

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Nonexistence of simple hyperbolic blow-up for the quasi-geostrophic equation

Diego Cordoba

Review from Zentralblatt MATH:

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.

Reviewed by V.A.Sava

Keywords: Euler vorticity equation; quasi-geostrophic equation; singularity; stream function

Classification (MSC2000): 35Q35 76B47 86A05

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Electronic fulltext finalized on: 9 Sep 2001. This page was last modified: 22 Jan 2002.

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Metadata extracted from Zentralblatt MATH with kind permission