AI-generated proofs are used to derive explicit lower bounds for advection-diffusion equations under inviscid shear, diffusive shear, and rapidly oscillating periodic flows.
Mixing for generic rough shear flows.SIAM Journal on Mathematical Analysis, 55(6):7240–7272, 2023
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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.