Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data
Probability
2025-01-20 v1 Analysis of PDEs
Abstract
We address the global existence of solutions to the stochastic Navier-Stokes equations with multiplicative noise and with initial data in . We prove that the solution exists globally in time with probability arbitrarily close to~ if the initial data and noise are sufficiently small. If the noise is not assumed to be small, then the solution is global on a sufficiently small deterministic time interval with probability arbitrarily close to~.
Cite
@article{arxiv.2501.10331,
title = {Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data},
author = {Mustafa Sencer Aydın and Igor Kukavica and Fanhui Xu},
journal= {arXiv preprint arXiv:2501.10331},
year = {2025}
}