AI-generated proofs are used to derive explicit lower bounds for advection-diffusion equations under inviscid shear, diffusive shear, and rapidly oscillating periodic flows.
Qed: An open-source multi-agent system for generating mathematical proofs on open problems, 2026
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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.