分析與幾何研討會
主講者: | 滕楚蓮教授 (University of California, Irvine, USA) |
講題: | Integrable curve flows in flat space |
時間: | 2010-03-19 (Fri.) 14:00 - 15:00 |
地點: | 數學所 617 研討室 (台大院區) |
Abstract: | In this talk, I will explain a general construction of curve flows in flat space whose geometric invariants give soliton flows. This construction contains the following well-known example: The Vortex filament equation is the evolution of space curves in R^3 moving in the direction of bi-normal with curvature as its speed. The corresponding curvature and torsion evolve according to the non-linear Schrodinger equation. |
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