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Enhanced dissipation in a two-level decomposition unlocks global asymptotic stability for the 2D Boussinesq equations around Couette flow, even with temperature-vorticity coupling.
A long-standing barrier in finite-field geometry has fallen, matching Euclidean-style $|A|^{2/3}|\mathcal{L}|^{2/3}$ point-line scaling over $\mathbb{F}_p$ and directly pushing sum-product expansion to $|A|^{5/4}$.
