Author

Qu-Yuan Lin

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Preprint Oct 2026

Global well-posedness for the 2D primitive equations with subcritical horizontal dissipation

We establish global well-posedness of classical solutions to the two-dimensional primitive equations with fractional horizontal dissipation for arbitrarily large initial data in the full subcritical range $1<\alpha\leq2$. Together with the known ill-posedness results for $0\leq\alpha<1$, this establishes the sharp diss...

Qu-Yuan Lin, Chang-Hui Tan · 0 citations

Preprint Oct 2026

Spectral gap for the stochastic primitive equations under degenerate Brownian forcing

We prove a weighted Wasserstein spectral gap for the three-dimensional primitive equations on $\mathscr E=\{u\in H^1\cap L^8: \partial_zu\in L^4\}$ under finite-rank additive Brownian forcing that is phase-complete finite Fourier and satisfies a quantitative quadratic saturation condition. In particular, four real forc...

Qu-Yuan Lin, Rong-Chang Liu, Ke-Ning Lu · 0 citations