TY - JOUR
T1 - On a flow to untangle elastic knots
AU - Lin, C C
AU - Schwetlick, Hartmut R
PY - 2010/11/1
Y1 - 2010/11/1
N2 - In this paper we present a method to untangle smooth knots by a gradient flow for a suitable energy. We show that the flow of smooth initial knots remains smooth for all time and approaches asymptotically an "optimal embedding" in its isotopy type. The method is to set up a gradient flow for the total energy of knots, which consists of bending energy and the Mobius energy of knots.
AB - In this paper we present a method to untangle smooth knots by a gradient flow for a suitable energy. We show that the flow of smooth initial knots remains smooth for all time and approaches asymptotically an "optimal embedding" in its isotopy type. The method is to set up a gradient flow for the total energy of knots, which consists of bending energy and the Mobius energy of knots.
UR - http://www.scopus.com/inward/record.url?scp=77957996837&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1007/s00526-010-0328-0
U2 - 10.1007/s00526-010-0328-0
DO - 10.1007/s00526-010-0328-0
M3 - Article
SN - 0944-2669
VL - 39
SP - 621
EP - 647
JO - Calculus of Variations and Partial Differential Equations
JF - Calculus of Variations and Partial Differential Equations
IS - 3-4
ER -