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math.AP2026
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…
math.AP2023
Global existence for the stochastic Boussinesq equations with transport noise and small rough data
Quyuan Lin, Rongchang Liu, Weinan Wang
In this paper, we consider the stochastic Boussinesq equations on with transport noise and rough initial data. We first prove the existence and uniqueness of the loca…