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math.PR2025
Polynomial mixing for the stochastic Schrödinger equation with large damping in the whole space
Hung D. Nguyen, Kihoon Seong
We study the long-time mixing behavior of the stochastic nonlinear Schrödinger equation in , . It is well known that, under a sufficiently strong damping for…
math.PR2025
Exponential mixing for the stochastic Kuramoto-Sivashinsky equation on the 1D torus
Peng Gao, Hung D. Nguyen
In this paper, we study the large-time behaviors of the Kuramoto-Sivashinsky equation (KSE) on the 1D torus while being subjected to random perturbation via additive Gaussian noise…