Invariant measures for stochastic Burgers equation on unbounded domains
Abstract
This paper is concerned with the stochastic damped Burgers equation with multiplicative noise defined on the entire real line. We first establish the existence of invariant measures for the equation and then demonstrate the tightness of the set of all invariant measures as the noise intensity varies within a bounded interval. Finally, we prove that the weak limit of every sequence of invariant measures in this set is an invariant measure of the corresponding limiting equation.
Fields of Study & Subjects
Stochastic processes and financial applications
Stability and Controllability of Differential Equations
Navier-Stokes equation solutions
Publication details
- Journal / source
- Discrete and Continuous Dynamical Systems - B
- Volume
- 37
- Issue
- 0
- Pages
- 447–471
- Publication date
- 1 January 2026
- Language
- EN