On the geometry of solutions of the quasi-geostrophic and Euler equations
AUTOR(ES)
Cordoba, Diego
FONTE
The National Academy of Sciences of the USA
RESUMO
We study solutions of the two-dimensional quasi-geostrophic thermal active scalar equation involving simple hyperbolic saddles. There is a naturally associated notion of simple hyperbolic saddle breakdown. It is proved that such breakdown cannot occur in finite time. At large time, these solutions may grow at most at a quadruple-exponential rate. Analogous results hold for the incompressible three-dimensional Euler equation.
ACESSO AO ARTIGO
http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=24212Documentos Relacionados
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