Well-posedness of stochastic second grade fluids
Analysis of PDEs
2017-05-03 v1
Abstract
The theory of turbulent Newtonian fluids turns out that the choice of the boundary condition is a relevant issue, since it can modify the behavior of the fluid by creating or avoiding a strong boundary layer. In this work we study stochastic second grade fluids filling a two-dimensional bounded domain, with the Navier-slip boundary condition (with friction). We prove the well-posedness of this problem and establish a stability result. Our stochastic model involves a multiplicative white noise and a convective term with third order derivatives, which significantly complicate the analysis.
Cite
@article{arxiv.1705.00636,
title = {Well-posedness of stochastic second grade fluids},
author = {Nikolai Chemetov and Fernanda Cipriano},
journal= {arXiv preprint arXiv:1705.00636},
year = {2017}
}