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math.PR2026
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…
math.PR2025
Averaging principle for the stochastic primitive equations in the large rotation limit
Quyuan Lin, Rongchang Liu, Vincent R. Martinez
It is known that the unique ergodicity of the viscous primitive equations with additive white-in-time noise remains an open problem. In this work, we demonstrate that, as the rotat…
math.PR2023
Estimation of Anisotropic Viscosities for the Stochastic Primitive Equations
Igor Cialenco, Ruimeng Hu, Quyuan Lin
The viscosity parameters play a fundamental role in applications involving stochastic primitive equations (SPE), such as accurate weather predictions, climate modeling, and ocean c…