2 papers
math.OC2026
Existence of Quantum Splines via Fourth-Order Gradient Flows
Chun-Chi Lin, Yang-Kai Lue, Dung The Tran
We establish a rigorous existence theory for the quantum splines introduced by Brody, Holm, and Meier in Physical Review Letters (2012). These curves arise as solutions of a variat…
math.DG2019
Uniqueness of regular shrinkers with 2 closed regions
Jui-En Chang, Yang-Kai Lue
Regular shrinkers describe blow-up limits of a finite-time singularity of the motion by curvature of planar network of curves. This follows from Huisken's monotonicity formula. In…