4 papers
Finite element approximations of the stochastic Benjamin-Bona-Mahony equation with multiplicative noise
Hung D. Nguyen, Thoa Thieu, Liet Vo
This paper is devoted to the numerical analysis of a fully discrete finite element approximation for the stochastic Benjamin-Bona-Mahony equation driven by multiplicative noise. We…
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…
Fully discrete finite element methods for the stochastic Kuramoto-Sivashinsky equation with multiplicative noise
Hung D. Nguyen, Liet Vo
We investigate a fully discrete finite element approximation for the stochastic Kuramoto-Sivashinsky equation, combining the standard finite element methods in spatial discretizati…
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…