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

Title:

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

Creator:

Ishiwata, Tetsuya

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:f247ad0d-27b5-4539-a234-e4a4bcbe6de0
uuid:f247ad0d-27b5-4539-a234-e4a4bcbe6de0
doi:10.21136/MB.2015.144318

Subject:

curvature driven motion, crystalline curvature, and spiral growth

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

111-119

Source:

Mathematica bohemica | 2015 Volume:140 | Number:2

Harvested from:

CDK

Metadata only:

false