4 citations · 4 across the 4 of their papers we have counts for
4 papers
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…
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…
The second-order -flow of inextensible elastic curves with hinged ends in the plane
Chun-Chi Lin, Yang-Kai Lue, Hartmut R. Schwetlick
In the paper published in Duke Math. J. 1993, Y. Wen studied a second-order parabolic equation for inextensible elastic \emph{closed} curves in toward inextensible…
The Stability of Self-Shrinkers of Mean Curvature Flow in Higher Codimension
Yng-Ing Lee, Yang-Kai Lue
In this paper, we generalize Colding and Minicozzi's work \cite{CM} on the stability of self-shrinkers in the hypersurface case to higher co-dimensional cases. The first and second…