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Symmetry Methods And Self-Similar Solutions To Curve Shortening, Peter Geertz-Larson
Symmetry Methods And Self-Similar Solutions To Curve Shortening, Peter Geertz-Larson
Summer Research
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.