Stochastic Navier-Stokes equations on a thin spherical domain
Probability
2020-07-15 v3 Analysis of PDEs
Abstract
Incompressible Navier-Stokes equations on a thin spherical domain along with free boundary conditions under a random forcing are considered. The convergence of the martingale solution of these equations to the martingale solution of the stochastic Navier-Stokes equations on a sphere as the thickness converges to zero is established.
Cite
@article{arxiv.2002.08873,
title = {Stochastic Navier-Stokes equations on a thin spherical domain},
author = {Zdzisław Brzeźniak and Gaurav Dhariwal and Quoc Thong Le Gia},
journal= {arXiv preprint arXiv:2002.08873},
year = {2020}
}
Comments
54 Pages. Published Version. Includes additional sections corresponding to the analysis of deterministic NSEs on a thin spherical domain