The behavior of polygonal curves with asymptotic lines to crys- talline motion with the bulk e ect is discussed. We show sufficient conditions for global existence of the solutions and characterize facet-extinction patterns. We also show the eventual monotonicity of shape of the solution curves, that is, the solutions become V-shaped in finite time.
|ジャーナル||Discrete and Continuous Dynamical Systems - Series S|
|出版物ステータス||Published - 2011 8 1|
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics