Continuity equation in LlogL for the 2D Euler equations under the enstrophy measure

Giuseppe Da Prato; Franco Flandoli; Michael Röckner

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arXiv · 1711.07759

Continuity equation in LlogL for the 2D Euler equations under the enstrophy measure

Giuseppe Da Prato·Franco Flandoli·Michael Röckner

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Abstract

The 2D Euler equations with random initial condition has been investigates by S. Albeverio and A.-B. Cruzeiro in [1] and other authors. Here we prove existence of solutions for the associated continuity equation in Hilbert spaces, in a quite general class with LlogL densities with respect to the enstrophy measure.

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Giuseppe Da Prato, Franco Flandoli, Michael Röckner. 2017-11-21. Continuity equation in LlogL for the 2D Euler equations under the enstrophy measure. https://arxiv.org/abs/1711.07759

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