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We study curve motion by the binormal flow with curvature and torsion depending velocity and sweeping out immersed surfaces. Using the Gauss-Codazzi equations, we obtain filaments evolving with constant torsion… Click to show full abstract
We study curve motion by the binormal flow with curvature and torsion depending velocity and sweeping out immersed surfaces. Using the Gauss-Codazzi equations, we obtain filaments evolving with constant torsion which arise from extremal curves of curvature energy functionals. They are “soliton” solutions in the sense that they evolve without changing shape.
Keywords:
torsion;
motion curves;
constant torsion;
curves constant;
binormal motion
Journal Title: Advances in Mathematical Physics
Year Published: 2017
Link to full text (if available)
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Journal Title: Advances in Mathematical Physics
Year Published: 2017
Link to full text (if available)
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recommendations!