Local existence of the stochastic Navier-Stokes equations in the whole space
Analysis of PDEs
2023-01-31 v1
Abstract
We address the local well-posedness for the stochastic Navier-Stokes system with multiplicative cylindrical noise in the whole space. More specifically, we prove that there exists a unique local strong solution to the system in for .
Keywords
Cite
@article{arxiv.2301.12877,
title = {Local existence of the stochastic Navier-Stokes equations in the whole space},
author = {Igor Kukavica and Fei Wang and Fanhui Xu},
journal= {arXiv preprint arXiv:2301.12877},
year = {2023}
}