Search

Your search keyword '"Lue, Yang-Kai"' showing total 12 results
Start Over Author "Lue, Yang-Kai" Publication Year Range Last 10 years
12 results on '"Lue, Yang-Kai"'

1. Uniqueness of regular shrinkers with 2 closed regions

Author

Chang, Jui-En and Lue, Yang-Kai

Subjects
Mathematics - Differential Geometry
Abstract

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 this paper, we show that there is only one regular shrinker with 2 closed regions. This regular shrinker is the Cisgeminate eye. Moreover, we find some degenerate regular shrinkers with 2 closed regions.

Published
2019

3. A second-order elastic flow for path planning in ℝ2.

Author

Lin, Chun-Chi, Lue, Yang-Kai, and Tran, Dung The

Subjects
*CLASSICAL solutions (Mathematics), *INTERPOLATION, *SPLINES
Abstract

We provide an approach of elastic flow with dynamic conditions at the knot points to resolve the path planning problem in the plane. The elastic flow is set up by a second-order semilinear parabolic system with nonlocal lower-order terms. We prove the existence of classical global solutions to the elastic flow, whose asymptotic limits provide classical solutions to the path planning problem. [ABSTRACT FROM AUTHOR]

Published
2024
Full Text
View/download PDF

12. The Second-Order L-Flow of Inextensible Elastic Curves with Hinged Ends in the Plane.

Author

Lin, Chun-Chi, Lue, Yang-Kai, and Schwetlick, Hartmut

Subjects
PARABOLIC differential equations, ELASTIC rods & wires, MOBIUS function, EULER equations, LAGRANGE multiplier
Abstract

In this article, we study the evolution of open inextensible planar curves with hinged ends. We obtain long time existence of C-smooth solutions during the evolution, given the initial curves that are only C-smooth with vanishing curvature at the boundary. Moreover, the asymptotic limits of this flow are inextensible elasticae. Our method and result extend the work by Wen (Duke Math. J. 70(3):683-698, ). [ABSTRACT FROM AUTHOR]

Published
2015
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results