Author

Rong-Chang Liu

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Preprint Aug 2026

Unique Ergodicity for the Projective Process of the 2D Navier--Stokes Equation with Nondegenerate Noise

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 nonzero real Fourier phase and satisfying two sided power law bounds. Consequently, the exact Furstenberg--Khasminskii formula for the top Lyap...

Zeng Lian, Rong-Chang Liu, Ke-Ning Lu · 0 citations

Preprint Aug 2026

Spectral gap for the three-dimensional damped cubic wave equation with degenerate noise

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 gap holds with respect to the negative phase topology $\mathcal E_s=H^{-s}\times H^{-1-s}$ for every $0<s<1/2$, from which we deduce unique...

Rong-Chang Liu, Ke-Ning Lu · 0 citations