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Convex mean curvature flow with a forcing term in direction of the position vector

✍ Scribed by Guang Han Li; Jing Mao; Chuan Xi Wu


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2012
Tongue
English
Weight
307 KB
Volume
28
Category
Article
ISSN
1439-7617

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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