Jun-Jie Li

Uniform-in-time approximation and convergence of invariant measuresfor the damped stochastic Korteweg-de Vries equation

To quantitatively characterize the long-time dynamics of the periodic damped stochastic Korteweg--de Vries (sKdV) equation driven by additive noise, we investigate the uniform-in-time error estimates for a Lie--Trotter operator splitting approximation. This splitting combines the exact deterministic KdV flow with the e...