@Article{NMTMA-14-1,
author = {Milstein , G.N. and Tretyakov , M.V.},
title = {Mean-Square Approximation of Navier-Stokes Equations with Additive Noise in Vorticity-Velocity Formulation},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2020},
volume = {14},
number = {1},
pages = {1--30},
abstract = {<p style="text-align: justify;">We consider a time discretization of incompressible Navier-Stokes equations with spatial periodic boundary conditions and additive noise in the vorticity-velocity formulation. The approximation is based on freezing the velocity on time
subintervals resulting in a linear stochastic parabolic equation for vorticity. At each
time step, the velocity is expressed via vorticity using a formula corresponding to
the Biot-Savart-type law. We prove the first mean-square convergence order of the
vorticity approximation.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2020-0034},
url = {http://global-sci.org/intro/article_detail/nmtma/18325.html}
}