Thomas Chen, Natasa Pavlovic
A lower bound on blowup rates for the 3D incompressible Euler equation and a single exponential Beale-Kato-Majda estimate
(445K, AMS Latex)

ABSTRACT.  We prove a Beale-Kato-Majda criterion for the loss of regularity for 
solutions of the incompressible 
Euler equations 
in $H^s(R^3)$, for $s>5/2$. 
Instead of double exponential estimates of Beale-Kato-Majda type, 
we obtain a single exponential bound on $\|u(t)\|_{H^s}$ 
involving a dimensionless parameter introduced by P. Constantin. 
In particular, we derive lower bounds on the blowup rate of such solutions.