A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2022; you can also visit the original URL.
The file type is application/pdf
.
CRYSTALLINE SURFACE DIFFUSION FLOW FOR GRAPH-LIKE CURVES
This paper studies a fourth-order crystalline curvature flow for a curve represented by the graph of a spatially periodic function. This is a special example of general crystalline surface diffusion flow. We consider a special class of piecewise linear functions and calculate its speed. We introduce notion of firmness and prove that the solution stays firm if initially it is firm at least for a short time. We also give an example that a facet (flat part) may split if the initial profile is not
doi:10.14943/100842
fatcat:sqwob4fdubecpm2ve466k33pxi