Invariant measures for the non-periodic two-dimensional Euler equation
Analysis of PDEs
2017-11-21 v2
Abstract
We construct Gaussian invariant measures for the two-dimensional Euler equation on the plane. We show the existence of solution with initial conditions in the support of the measures, namely with . Uniqueness and continuity of the velocity flow are proved.
Cite
@article{arxiv.1612.08587,
title = {Invariant measures for the non-periodic two-dimensional Euler equation},
author = {Ana Bela Cruzeiro and Alexandra Symeonides},
journal= {arXiv preprint arXiv:1612.08587},
year = {2017}
}