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March 2009 The Poincare Recurrence Problem of Inviscid Incompressible Fluids
Y. Charles Li
Asian J. Math. 13(1): 7-14 (March 2009).

Abstract

Nadirashvili presented a beautiful example showing that the Poincaré recurrence does not occur near a particular solution to the 2D Euler equation of inviscid incompressible fluids. Unfortunately, Nadirashvili’s setup of the phase space is not appropriate, and details of the proof are missing. This note fixes that.

Citation

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Y. Charles Li. "The Poincare Recurrence Problem of Inviscid Incompressible Fluids." Asian J. Math. 13 (1) 7 - 14, March 2009.

Information

Published: March 2009
First available in Project Euclid: 23 April 2009

zbMATH: 1179.35231
MathSciNet: MR2500956

Subjects:
Primary: 37, 76
Secondary: 35, 34

Keywords: Biot-Savart law , Euler equation of fluids , Poincaré recurrence , single layer potential , vorticity

Rights: Copyright © 2009 International Press of Boston

Vol.13 • No. 1 • March 2009
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