Binormal Motion of Curves with Constant Torsion in 3-Spaces
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” solu...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/7075831 |
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| author | Josu Arroyo Óscar J. Garay Álvaro Pámpano |
| author_facet | Josu Arroyo Óscar J. Garay Álvaro Pámpano |
| author_sort | Josu Arroyo |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-7743cef524994e74b70b72ddb10232a4 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-7743cef524994e74b70b72ddb10232a42025-02-03T01:04:26ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/70758317075831Binormal Motion of Curves with Constant Torsion in 3-SpacesJosu Arroyo0Óscar J. Garay1Álvaro Pámpano2Department of Mathematics, Faculty of Science and Technology, University of the Basque Country, Apartado 644, 48014 Bilbao, SpainDepartment of Mathematics, Faculty of Science and Technology, University of the Basque Country, Apartado 644, 48014 Bilbao, SpainDepartment of Mathematics, Faculty of Science and Technology, University of the Basque Country, Apartado 644, 48014 Bilbao, SpainWe 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.http://dx.doi.org/10.1155/2017/7075831 |
| spellingShingle | Josu Arroyo Óscar J. Garay Álvaro Pámpano Binormal Motion of Curves with Constant Torsion in 3-Spaces Advances in Mathematical Physics |
| title | Binormal Motion of Curves with Constant Torsion in 3-Spaces |
| title_full | Binormal Motion of Curves with Constant Torsion in 3-Spaces |
| title_fullStr | Binormal Motion of Curves with Constant Torsion in 3-Spaces |
| title_full_unstemmed | Binormal Motion of Curves with Constant Torsion in 3-Spaces |
| title_short | Binormal Motion of Curves with Constant Torsion in 3-Spaces |
| title_sort | binormal motion of curves with constant torsion in 3 spaces |
| url | http://dx.doi.org/10.1155/2017/7075831 |
| work_keys_str_mv | AT josuarroyo binormalmotionofcurveswithconstanttorsionin3spaces AT oscarjgaray binormalmotionofcurveswithconstanttorsionin3spaces AT alvaropampano binormalmotionofcurveswithconstanttorsionin3spaces |