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

Liu, Rongchang et al.
arXiv (All) · Papers
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analysis-of-pdesdynamical-systems
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-S
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