Naturally Curved Hair in 2D

This lecture explores the behavior of naturally curved hair in a 2D space, focusing on its shape under gravity. The study considers a thin elastic rod model with specific properties like Young's modulus and density. The lecture delves into the mathematical equations governing the shape of the hair, including the Darboux vector and the balance of forces and moments. It also discusses boundary conditions and the impact of weak and strong gravity on the hair's shape, emphasizing the boundary layer near the scalp. The presentation concludes with the analysis of the hair's vertical tip displacement and the solutions derived from the governing equations.