Abstract

We propose a new perspective that diffusion laws may inherently select boundary conditions. By extending the domain with a boundary into the larger space and setting a small diffusivity outside the domain, we demonstrate that the boundary condition becomes Neumann or Dirichlet as tends to zero. This selection depends on the choice of the heterogeneous diffusion law.

 

Organizers: Kuan-Wei Chen (NCTS), Wille Liu (AS)