English

Euler-Lagrangian approach to 3D stochastic Euler equations

Probability 2018-03-15 v1

Abstract

3D stochastic Euler equations with a special form of multiplicative noise are considered. A Constantin-Iyer type representation in Euler-Lagrangian form is given, based on stochastic characteristics. Local existence and uniqueness of solutions in suitable Hoelder spaces is proved from the Euler-Lagrangian formulation.

Keywords

Cite

@article{arxiv.1803.05319,
  title  = {Euler-Lagrangian approach to 3D stochastic Euler equations},
  author = {Franco Flandoli and Dejun Luo},
  journal= {arXiv preprint arXiv:1803.05319},
  year   = {2018}
}
R2 v1 2026-06-23T00:53:01.189Z