On a flow to untangle elastic knots
Lin, C. C. and Schwetlick, H. R., 2010. On a flow to untangle elastic knots. Calculus of Variations and Partial Differential Equations, 39 (3-4), pp. 621-647.
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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.
|Creators||Lin, C. C.and Schwetlick, H. R.|
|Departments||Faculty of Science > Mathematical Sciences|
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