Well-posedness for a stochastic 2D Euler equation with transport noise
Analysis of PDEs
2020-10-23 v2
Abstract
We prove the existence of a unique global strong solution for a stochastic two-dimensional Euler vorticity equation for incompressible flows with noise of transport type. In particular, we show that the initial smoothness of the solution is preserved. The arguments are based on approximating the solution of the Euler equation with a family of viscous solutions which is proved to be relatively compact using a tightness criterion by Kurtz.
Cite
@article{arxiv.1907.00451,
title = {Well-posedness for a stochastic 2D Euler equation with transport noise},
author = {Dan Crisan and Oana Lang},
journal= {arXiv preprint arXiv:1907.00451},
year = {2020}
}
Comments
40 pages