On uniqueness of solutions to stochastic Navier--Stokes equations

Raymond Cotter; István Gyöngy

On uniqueness of solutions to stochastic Navier--Stokes equations

Probability 2026-06-28 v1 Mathematical Physics Analysis of PDEs

Authors: Raymond Cotter , István Gyöngy

Abstract

Theorems on uniqueness and continuous dependence on the initial condition of solutions to stochastic Navier-Stokes equations driven by Wiener processes and Poisson martingale measures are presented. These theorems generalise some results from \cite{GK2026}.

Keywords

stochastic Navier-Stokes equations uniqueness continuous dependence Wiener processes Poisson martingale measures

Cite

@article{arxiv.2606.29512,
  title  = {On uniqueness of solutions to stochastic Navier--Stokes equations},
  author = {Raymond Cotter and István Gyöngy},
  journal= {arXiv preprint arXiv:2606.29512},
  year   = {2026}
}