5 papers
Polynomial mixing for stochastic viscous conservation law equation on the whole line
Peng Gao, Liying Li
In this paper, we study the long-time behavior of the viscous conservation law equation on the whole real line, subject to a white-in-time force and arbitrarily small damping and v…
Ergodicity for the randomly forced Korteweg-de Vries-Burgers equation
Peng Gao
Our goal in this paper is to investigate ergodicity of the randomly forced Korteweg-de Vries-Burgers(KdVB) equation driven by non-additive white noise. Under reasonable conditions,…
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…
Polynomial mixing for the white-forced wave equation on the whole line
Peng Gao
Our goal in this paper is to investigate the ergodicity of the white-forced wave equation on the whole line. Assuming that sufficiently many directions of the phase space are stoch…
Polynomial mixing for the white-forced hyperviscous Burgers equation on the whole line
Peng Gao
Our goal in this paper is to investigate ergodicity of the white-forced hyperviscous Burgers equation on the whole line. Under the assumption that sufficiently many directions of t…