3 papers
math.AP2026
Heat flow of harmonic maps into CAT()-spaces
Fang-Hua Lin, Antonio Segatti, Yannick Sire +1
We introduce a new approach to prove the global existence and uniqueness of suitable weak solutions of the heat flow of harmonic mappings into CAT(0) metric spaces. Our method allo…
math.AP2026
Remarks on the heat flow of harmonic maps into CAT(0)-spaces
Fanghua Lin, Changyou Wang
In this paper, we present an alternate, elementary proof of the local Lipschitz regularity of the suitable weak solution of heat flow of harmonic maps into CAT(0)-metric spaces, wh…
math.AP2026
Liquid crystals and topological vorticity: smoothness of mild solutions
Fanghua Lin, Yannick Sire, Yantao Wu +1
We introduce several new models whose common feature is to take into account effects from topological vorticity. The macroscopic unknown is driven by a dissipative anomalous diffus…