@article{hmidi_xue_xue_2026_unified,
  title         = {Unified Theory on {V}-States Structures for Active Scalar Equations},
  author        = {Hmidi, Taoufik and Xue, Liutang and Xue, Zhilong},
  journal       = {Advances in Mathematics},
  volume        = {486},
  pages         = {110750},
  year          = {2026},
  doi           = {10.1016/j.aim.2025.110750},
  eprint        = {2312.02874},
  archivePrefix = {arXiv}
}