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December  2009, 25(4): 1181-1193. doi: 10.3934/dcds.2009.25.1181

Notes on the asymptotically self-similar singularities in the Euler and the Navier-Stokes equations

Dongho Chae 1, , Kyungkeun Kang 1, and  Jihoon Lee 1,

1. 

Department of mathematics, Sungkyunkwan University, 300 Cheoncheon-dong, Jangan-gu, Suwon, 440-746, South Korea, South Korea

Received  November 2008 Revised  May 2009 Published  September 2009

We exclude a type of asymptotically self-similar singularities which are the limiting cases of the results in [5] for the Euler and Navier-Stokes equations in dimension three.
Keywords: Euler equations, Navier-Stokes equations, self-similar singularity..
Mathematics Subject Classification: Primary: 35Q30, 35Q35; Secondary: 76Dxx, 76Bx.
Citation: Dongho Chae, Kyungkeun Kang, Jihoon Lee. Notes on the asymptotically self-similar singularities in the Euler and the Navier-Stokes equations. Discrete and Continuous Dynamical Systems, 2009, 25 (4) : 1181-1193. doi: 10.3934/dcds.2009.25.1181
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