Area of Study
Science and Mathematics
Curve shortening is a geometric process that continually evolves a curve based on its curvature.Self-similar solutions to the curve shortening equation maintain their form throughoutthe process, though they can be scaled, translated, or rotated. These self-similar solutionscorrespond to the invariant solutions of the symmetry method for solving differential equations.
Geertz-Larson, Peter, "Symmetry Methods and Self-Similar Solutions to Curve Shortening" (2011). Summer Research. 142.
University of Puget Sound