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On Invariant Measures of the 2D Euler Equation

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Abstract

In this article we study the class of the microcanonical invariant measures for the 2D Euler equation under periodic boundary conditions and show that these measures are different from those that are the limits of the stationary measures for randomly forced 2D Navier-Stokes equation as the viscosity tends to zero.

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Authors and Affiliations

  1. Department of Mathematics & Statistics, McMaster University, 1280 Main Street West, Hamilton, Ontario, Canada, L8S 4K1

    Andrei Biryuk

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  1. Andrei Biryuk
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Correspondence to Andrei Biryuk.

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Biryuk, A. On Invariant Measures of the 2D Euler Equation. J Stat Phys 122, 597–616 (2006). https://doi.org/10.1007/s10955-005-8011-0

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  • DOI: https://doi.org/10.1007/s10955-005-8011-0

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