11-95 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) Jun 17, 11

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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.

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