Generalized crystalline evolutions as limits of flows with smooth anisotropies
arXiv:1711.0499713 citationsh-index: 57
AI Analysis
Provides a rigorous mathematical foundation for crystalline mean curvature flows, which are important in materials science and image processing.
The paper proves existence and uniqueness of weak solutions to anisotropic and crystalline mean curvature flows by taking limits of viscosity solutions to flows with smooth anisotropies.
We prove existence and uniqueness of weak solutions to anisotropic and crystalline mean curvature flows, obtained as limit of the viscosity solutions to flows with smooth anisotropies.