2 papers
math.DS2025
Invariant measures for stochastic Burgers equation on unbounded domains
Zhenxin Liu, Zhiyuan Shi
In this paper, we investigate the stochastic damped Burgers equation with multiplicative noise defined on the entire real line. We demonstrate the existence and uniqueness of a mil…
math.DS2024
Invariant measures for stochastic Burgers equation in unbounded domains with space-time white noise
Zhenxin Liu, Zhiyuan Shi
In this paper, we investigate the stochastic damped Burgers equation with multiplicative space-time white noise defined on the entire real line. We prove the existence and uniquene…