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Finite time blow-up for a dyadic model of the Euler equations
Author(s):
Nets
Hawk
Katz;
Natasa
Pavlovic
Journal:
Trans. Amer. Math. Soc.
357
(2005),
695-708.
MSC (2000):
Primary 35Q30, 35Q35, 76B03
Posted:
March 12, 2004
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Abstract:
We introduce a dyadic model for the Euler equations and the Navier-Stokes equations with hyper-dissipation in three dimensions. For the dyadic Euler equations we prove finite time blow-up. In the context of the dyadic Navier-Stokes equations with hyper-dissipation we prove finite time blow-up in the case when the dissipation degree is sufficiently small.
References:
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Additional Information:
Nets
Hawk
Katz
Affiliation:
Department of Mathematics, Washington University, St. Louis, Missouri 63130
Email:
nets@math.wustl.edu
Natasa
Pavlovic
Affiliation:
Department of Mathematics, Princeton University, Princeton, New Jersey 08544
Email:
natasa@math.princeton.edu
DOI:
10.1090/S0002-9947-04-03532-9
PII:
S 0002-9947(04)03532-9
Received by editor(s):
July 25, 2003
Posted:
March 12, 2004
Copyright of article:
Copyright
2004,
American Mathematical Society
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