@article{scientificmachinelearningofflow,
  title = {Scientific Machine Learning of Flow Resistance Using Universal Shallow Water Equations with Differentiable Programming},
  author = {Xiaofeng Liu and Yalan Song},
  year = {2025},
  eprint = {2502.12396},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2502.12396v1},
}