Author

Lin Shi

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Preprint Oct 2026

A Hartman-Grobman Theorem for the Navier-Stokes Equation on $\mathbb T^3$

We prove a local Hartman-Grobman theorem at zero for the unforced Navier-Stokes equation on the three-dimensional torus in the strong topology of $H^s$ for every $s>7/2$. More precisely, we construct a homeomorphism between open positively invariant neighborhoods of zero that conjugates the Navier-Stokes semiflow to th...

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

Preprint Sep 2026

Polynomial mixing for the 3D damped cubic nonlinear Schr\"odinger equation with degenerate noise

We prove polynomial mixing for the defocusing damped cubic stochastic nonlinear Schr\"odinger equation on the three-dimensional torus under saturating smooth finite rank Brownian forcing. The mixing rate is measured in the $p$-Wasserstein metric induced by the $H^1$ distance for every $1\le p<\infty$. We also obtain sh...

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