Stochastic vorticity equation in $\mathbb R^2$ with not regular noise
Probability
2018-03-06 v1
Abstract
We consider the Navier-Stokes equations in vorticity form in with a white noise forcing term of multiplicative type, whose spatial covariance is not regular enough to apply the It\^o calculus in spaces, . We prove the existence of a unique strong (in the probability sense) solution.
Cite
@article{arxiv.1803.01799,
title = {Stochastic vorticity equation in $\mathbb R^2$ with not regular noise},
author = {Benedetta Ferrario and Margherita Zanella},
journal= {arXiv preprint arXiv:1803.01799},
year = {2018}
}