The stochastic Navier-Stokes equations with general $L^{3}$ data
Probability
2025-04-09 v1 Analysis of PDEs
Abstract
We consider the stochastic Navier-Stokes equations with multiplicative noise with critical initial data. Assuming that the initial data belongs to the critical space almost surely, we construct a unique local-in-time probabilistically strong solution. We also prove an analogous result for data in the critical space~.
Cite
@article{arxiv.2504.05648,
title = {The stochastic Navier-Stokes equations with general $L^{3}$ data},
author = {Mustafa Sencer Aydın and Igor Kukavica and Fanhui Xu},
journal= {arXiv preprint arXiv:2504.05648},
year = {2025}
}