ABSTRACT
We consider the 3D stochastic Navier–Stokes–Voigt equations in bounded domains with the homogeneous Dirichlet boundary condition and infinite-dimensional Wiener process. First, we prove the existence and uniqueness of solutions to the problem. Then we investigate the mean square exponential stability and the almost sure exponential stability of the stationary solutions.
Acknowledgements
The authors would like to thank the reviewers for the helpful comments and suggestions which improved the presentation of the paper.
Disclosure statement
No potential conflict of interest was reported by the authors.