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Non-uniqueness of self-similar shrinking curves for an anisotropic curvature flow

✍ Scribed by Hiroki Yagisita


Publisher
Springer
Year
2006
Tongue
English
Weight
184 KB
Volume
26
Category
Article
ISSN
0944-2669

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## Abstract A new method for solution of the evolution of plane curves satisfying the geometric equation __v__=__Ξ²__(__x,k,Ξ½__), where __v__ is the normal velocity, __k__ and __Ξ½__ are the curvature and tangential angle of a plane curve Ξ“ βŠ‚ ℝ^2^ at the point __x__βˆˆΞ“, is proposed. We derive a govern