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

Dongho Chae; Kyungkeun Kang; Jihoon Lee

doi:10.3934/dcds.2009.25.1181

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2009, Volume 25, Issue 4: 1181-1193. Doi: 10.3934/dcds.2009.25.1181

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

1.
Department of mathematics, Sungkyunkwan University, 300 Cheoncheon-dong, Jangan-gu, Suwon, 440-746

Received: October 31, 2008

Revised: April 30, 2009

Published: October 2009

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Abstract

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.

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Mathematics Subject Classification: Primary: 35Q30, 35Q35; Secondary: 76Dxx, 76Bxx.

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

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