Existence and uniqueness for stochastic 2D Euler flows with bounded vorticity
Probability
2016-09-09 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
Strong existence and pathwise uniqueness of solutions with -vorticity of 2D stochastic Euler equations is proved. The noise is multiplicative and involves first derivatives. A Lagrangian approach is implemented, where a stochastic flow solving a nonlinear flow equation is constructed. Stability under regularization is also proved.
Cite
@article{arxiv.1401.5938,
title = {Existence and uniqueness for stochastic 2D Euler flows with bounded vorticity},
author = {Zdzisław Brzeźniak and Franco Flandoli and Mario Maurelli},
journal= {arXiv preprint arXiv:1401.5938},
year = {2016}
}