Motion of spiral-shaped polygonal curves by nonlinear crystalline motion with a rotating tip motion

研究成果: Article

抄録

We consider a motion of spiral-shaped piecewise linear curves governed by a crystalline curvature flow with a driving force and a tip motion which is a simple model of a step motion of a crystal surface. We extend our previous result on global existence of a spiral-shaped solution to a linear crystalline motion for a power type nonlinear crystalline motion with a given rotating tip motion. We show that self-intersection of the solution curves never occurs and also show that facet extinction never occurs. Finally, we show that spiral-shaped solutions exist globally in time.

元の言語English
記事番号A111
ページ(範囲)111-119
ページ数9
ジャーナルMathematica Bohemica
140
発行部数2
出版物ステータスPublished - 2015

ASJC Scopus subject areas

  • Mathematics(all)

これを引用

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AB - We consider a motion of spiral-shaped piecewise linear curves governed by a crystalline curvature flow with a driving force and a tip motion which is a simple model of a step motion of a crystal surface. We extend our previous result on global existence of a spiral-shaped solution to a linear crystalline motion for a power type nonlinear crystalline motion with a given rotating tip motion. We show that self-intersection of the solution curves never occurs and also show that facet extinction never occurs. Finally, we show that spiral-shaped solutions exist globally in time.

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