AI-generated proofs are used to derive explicit lower bounds for advection-diffusion equations under inviscid shear, diffusive shear, and rapidly oscillating periodic flows.
On the relation between enhanced dissipation timescales and mixing rates.Communications on Pure and Applied Mathematics, 73(6):1205–1244, 2020
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Lower Bounds for Advection-Diffusion Equations: An Exploration with AI-Generated Proofs
AI-generated proofs are used to derive explicit lower bounds for advection-diffusion equations under inviscid shear, diffusive shear, and rapidly oscillating periodic flows.