Abstract

In this talk we derive heat and diffusion systems on an evolving surface from an energetic point of view. An evolving surface means that the surface is moving or that the shape of the surface is changing with along the time. We focus on dissipation energies to study Fourier's and Fick's laws of surface diffusion. We apply our energetic variational approach to derive heat and diffusion systems on an evolving surface. Moreover, we consider conservative forms and conservation laws on the two systems.