Stochastic Navier-Stokes Equations in Unbounded Channel Domains
arXiv:1412.6374 · doi:10.1007/s00021-014-0189-y
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.
49 pages, 5 figures, Published in Journal of Mathematical Fluid Mechanics (2014) and available online