Event № 80
We study the stability and instability of equilibrium solutions of a reaction-diffusion equationwith different types of boundary conditions. Stable solutions play an important role in thestudy of pattern formation in biology. Unstable solutions lack of physical significance. it turnsout that the stability depends on the curvature of the manifold and the geometric propertiesof the boundary. The main tool is the Bochner-Weitzenböck formula. The talk is intended to givea flavor of how to apply this formula and does not require any knowledge of geometric analysis.