Local well‐posedness and zero‐α limit for the Euler‐α equations |
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| Authors: | Gaocheng Yue Chengkui Zhong |
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| Institution: | 1. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, China;2. Department of Mathematics, Nanjing University, Nanjing, China |
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| 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‐α equations of inviscid incompressible fluid flows in  . We also establish the convergence rate of the solutions of the Euler‐α equations to the corresponding solutions of the Euler equations as the regularization parameter α approaches 0 in  . Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | Euler‐α equations Littlewood– Paley theory blow‐up criterion |
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. We also establish the convergence rate of the solutions of the Euler‐α equations to the corresponding solutions of the Euler equations as the regularization parameter α approaches 0 in 
. Copyright © 2016 John Wiley & Sons, Ltd.