On the stochastic 3D globally modified Navier–Stokes equations with finite delays
Abstract
In this paper we consider the stochastic 3D globally modified Navier–Stokes equations with finite delays in bounded domains. We give a sufficient condition for the existence, uniqueness and exponential stability of the stationary solution in the sense of mean square and almost sure. Moreover, when the sufficient condition for exponential stability is not satisfied, we use a linear internal feedback controller with support large enough to stabilize an unstable stationary solution.
Fields of Study & Subjects
Navier-Stokes equation solutions
Stability and Controllability of Differential Equations
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Stochastics
- Volume
- 98
- Issue
- 6
- Pages
- 988–1007
- Publication date
- 23 February 2026
- Language
- EN