1 citations · 1 across the 3 of their papers we have counts for
6 papers
A Hartman-Grobman Theorem for the Navier-Stokes Equation on
Rongchang Liu, Kening Lu, Lin Shi
We prove a local Hartman-Grobman theorem at zero for the unforced Navier-Stokes equation on the three-dimensional torus in the strong topology of for every . More prec…
Spectral gap for the stochastic primitive equations under degenerate Brownian forcing
Quyuan Lin, Rongchang Liu, Kening Lu
We prove a weighted Wasserstein spectral gap for the three-dimensional primitive equations on under finite-rank additive Brown…
Spectral gap for the three-dimensional damped cubic wave equation with degenerate noise
Rongchang Liu, Kening Lu
We establish a weighted Wasserstein spectral gap for the three-dimensional damped cubic wave equation with genuinely finite rank Brownian forcing. Under a saturation condition, the…
Unique Ergodicity for the Projective Process of the 2D Navier--Stokes Equation with Nondegenerate Noise
Zeng Lian, Rongchang Liu, Kening Lu
We prove unique ergodicity of the projective process associated with the two dimensional Navier--Stokes equation in vorticity form, with additive diagonal noise acting on every non…
Mixed Third-Order Flux Laws for Dual Cascade in the Stochastic SQG Equation
Rongchang Liu, Kening Lu, Zexin Wang
We study dual-cascade flux laws for the stochastic forced--dissipative surface quasi-geostrophic (SQG) equation on a large periodic box. For statistically stationary solutions, und…
Entropy, chaos and weak horseshoe for infinite dimensional random dynamical systems
Wen Huang, Kening Lu
In this paper, we study the complicated dynamics of infinite dimensional random dynamical systems which include deterministic dynamical systems as their special cases in a Polish s…