@article{lowerboundsforadvectiondiffusionequation,
  title = {Lower Bounds for Advection-Diffusion Equations: An Exploration with AI-Generated Proofs},
  author = {Chenyang An and Xiaoqian Xu},
  year = {2026},
  eprint = {2605.20623},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.20623},
}