Abstract

In this paper, we prove the local‐in‐time existence and a blow‐up criterion of solutions in the Besov spaces for the Euler‐αequations of inviscid incompressible fluid flows in. We also establish the convergence rate of the solutions of the Euler‐αequations to the corresponding solutions of the Euler equations as the regularization parameterαapproaches 0 in. Copyright © 2016 John Wiley & Sons, Ltd.

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