Chun-Chi Lin
Department of Mathematics, National Taiwan Normal University, Taipei, 116 Taiwan
  • Office Phone : +886-(0)2-77346611, Fax : +886-(0)2-29332342.
  • Email: chunlin "at" math.ntnu.edu.tw 

I. Teaching (Spring Semester 2016):
  • Courses 
  1. Differential Geometry II (M210; Friday, 2:00-4:40).
  2. Nonlinear Analysis II (M210; Tuesday, 4:30-5:20 & Wednesday, 10:30-12:10).
  • Office Hours
  1. Wednesday: 8-10.
  2. Friday: 8-10.

II. Research:

A. Research Interests

My research focuses on nonlinear variational problems motivated from differential geometry, mechanics, material sciences or biology. The mathematical issues of these variational problems include existence, regularity theory, geometric singularities, qualitative properties, and dynamic behaviour. In addition, I am interested to see applications of rigorous mathematics in sciences.

B. Journal Articles     

  • A gradient flow for open elastic curves with fixed length and clamped ends.  Ann. Sc. Norm. Super. Pisa Cl. Sci., (accepted, 2016) (with Anna Dall'Acqua and Paola Pozzi). 
  • The second-order L^2-flow of inextensible elastic curves with hinged ends in the plane. J. Elasticity, 119 (2015), no. 1, 263-291.  (with Yang-Kai Lue and Hartmut R. Schwetlick).
  • Evolution of open elastic curves in R^n subject to fixed length and natural boundary conditions. Analysis (Berlin), 34 (2014), no. 2, 209-222 (with Anna Dall'Acqua and Paola Pozzi).
  • Interior continuity of two-dimensional weakly  stationary-harmonic multiple-valued functions. J. Geom. Anal., 24 (2014), no. 3, 1547-1582. 
  • L^2-flow of elastic curves with clamped boundary conditions. J. Differential Equations, 252 (2012), no. 12, 6414-6428.
  • On a flow to untangle elastic knots. Calc. Var. Partial Differential Equations, 39 (2010), no. 3-4, 621-647 (with Hartmut R. Schwetlick).
  • Evolving a Kirchhoff elastic rod without self-intersections. J. Math. Chem., 45 (2009), no. 3, 748-768 (with Hartmut R. Schwetlick).

  • On the generalized Bertrand curves in Euclidean N-spaces. Note di Matematica, 29 (2009), no. 2, 33-39 (with Yung-Ming Cheng).
  • On the geometric flow of Kirchhoff elastic rods. SIAM J. on Appl. Math., 65 (2005), no. 2, 720-736 (with Hartmut R. Schwetlick).

  • Rigidity for the hyperbolic Monge-Ampere equation. Ann. Sc. Norm. Super. Pisa Cl. Sci., (5) 3 (2004), no. 3, 609-623.

  • Negatively curved sets on surfaces of constant mean curvature in R^3 are large. Arch. for Rational Mech. Anal., 141 (1998), no. 2, 105-116 (with Wu-Hsiung Huang).

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    C. Conference Articles  

  • How can the game of Hex be used to inspire students in learning mathematical reasoning?, Proceedings of the ICMI Study 19 Conference, Vol. 2, 2009, p. 37-40, ISBN 978-986-01-8210-1.

  • Finding the elasticae by means of geometric gradient flows, Recent advances in elliptic and parabolic problems, p. 189-196, World Sci. Publ., Hackensack, NJ, 2005, ISBN 978-981-256-189-3 (with Hartmut Schwetlick).


  • D. Movies and Animations  

  • Untangling elastic knots (click here for the poster): Below are movie files in which torus knots evolving by the gradient flow of energies.
        1. using bending energy+knot energy: (i) (9,1)-unknot (or its zipped file), (ii) (1,20)-unknot (or its zipped file), (iii) (2,3)-unknot (or its zipped file), (iv) (2,3)-knot (or its zipped file), (v) almost planar figure-8 (or its zipped file). Notice that all unknots above evolve into round circles;

        2. using bending energy only: (i) (2,3)-knot (or its zipped file), (ii) almost planar figure-8 (or its zipped file). Notice that self-intersection might happen during this knid of evolution.

  • Tangling elastic knots, (in preparation).

  • Turning a torus inside out, (in preparation).

  • E. Popular Sciences