English

On a 2D stochastic Euler equation of transport type: existence and geometric formulation

Probability 2014-02-19 v3

Abstract

We prove weak existence of Euler equation (or Navier-Stokes equation) perturbed by a multiplicative noise on bounded domains of R2\mathbb R^2 with Dirichlet boundary conditions and with periodic boundary conditions. Solutions are H1H^1 regular. The equations are of transport type.

Keywords

Cite

@article{arxiv.1305.7086,
  title  = {On a 2D stochastic Euler equation of transport type: existence and geometric formulation},
  author = {Ana Bela Cruzeiro and Iván Torrecilla},
  journal= {arXiv preprint arXiv:1305.7086},
  year   = {2014}
}