Continuity equation in LlogL for the 2D Euler equations under the enstrophy measure
Probability
2019-07-31 v2
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.
Cite
@article{arxiv.1711.07759,
title = {Continuity equation in LlogL for the 2D Euler equations under the enstrophy measure},
author = {Giuseppe Da Prato and Franco Flandoli and Michael Röckner},
journal= {arXiv preprint arXiv:1711.07759},
year = {2019}
}