We study the geometric evolution of a nonconvex stone by the wearing process via the partial differential equation methods. We use the so-called level set approach to this geometric evolution of a set. We establish a comparison theorem, an existence theorem, and some stability properties of solutions of the partial differential equation arising in this level set approach, and define the flow of a set by the wearing process via the level set approach.
|Number of pages||41|
|Journal||Calculus of Variations and Partial Differential Equations|
|Publication status||Published - 2004 Jan|
ASJC Scopus subject areas
- Applied Mathematics