@article{equivariantushapedneuraloperatorsforthec, title = {Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model}, author = {Xiao Xue and Marco F. P. ten Eikelder and Tianyue Yang and Yiqing Li and Kan He and Shuo Wang and Peter V. Coveney}, year = {2025}, eprint = {2509.01293}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2509.01293}, }