Existence for stochastic 2D Euler equations with positive $H^{-1}$ vorticity
Probability
2020-11-24 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We prove the existence of non-negative measure- and -valued vorticity solutions to the stochastic 2D Euler equations with transport vorticity noise, starting from any non-negative vortex sheet. This extends the result by Delort (J.Amer.Math.Soc. 1991) to the stochastic case.
Cite
@article{arxiv.1906.11523,
title = {Existence for stochastic 2D Euler equations with positive $H^{-1}$ vorticity},
author = {Zdzisław Brzeźniak and Mario Maurelli},
journal= {arXiv preprint arXiv:1906.11523},
year = {2020}
}