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Title of Journal: Commun Math Phys

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Abbravation: Communications in Mathematical Physics

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Springer-Verlag

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10.1002/stab.200490175

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1432-0916

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A Lower Bound on Blowup Rates for the 3D Incompres

Authors: Thomas Chen Nataša Pavlović
Publish Date: 2012/07/18
Volume: 314, Issue: 1, Pages: 265-280
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Abstract

We prove a BealeKatoMajda type criterion for the loss of regularity for solutions of the incompressible Euler equations in Hsmathbb R3 for sfrac52 Instead of double exponential estimates of BealeKatoMajda type we obtain a single exponential bound on ut Hs involving the length parameter introduced by Constantin in SIAM Rev 36173–98 1994 In particular we derive lower bounds on the blowup rate of such solutions

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