The Poincare Recurrence Problem of Inviscid Incompressible Fluids
Li, Y. Charles
Asian J. Math., Volume 13 (2009) no. 1, p. 7-14 / Harvested from Project Euclid
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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.
Published online : 2009-03-15
Classification:  Poincaré recurrence,  Euler equation of fluids,  vorticity,  Biot-Savart law,  single layer potential,  37, 76,  35, 34 
@article{1240496432,
     author = {Li, Y. Charles},
     title = {The Poincare Recurrence Problem of Inviscid Incompressible Fluids},
     journal = {Asian J. Math.},
     volume = {13},
     number = {1},
     year = {2009},
     pages = { 7-14},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1240496432}
}

Li, Y. Charles. The Poincare Recurrence Problem of Inviscid Incompressible Fluids. Asian J. Math., Volume 13 (2009) no. 1, pp.  7-14. http://gdmltest.u-ga.fr/item/1240496432/