Stochastic Navier-Stokes Equations in Unbounded Channel Domains
Probability
2014-12-22 v1 Analysis of PDEs
Abstract
In this paper we prove the existence and uniqueness of path-wise strong solution to stochastic viscous flow in unbounded channels with multiple outlets using local monotonicity arguments. We devise a construction for solvability using a stochastic basic vector field.
Keywords
Cite
@article{arxiv.1412.6374,
title = {Stochastic Navier-Stokes Equations in Unbounded Channel Domains},
author = {Utpal Manna and Manil T. Mohan and Sivaguru S. Sritharan},
journal= {arXiv preprint arXiv:1412.6374},
year = {2014}
}
Comments
49 pages, 5 figures, Published in Journal of Mathematical Fluid Mechanics (2014) and available online