Dynamics of Conformal Maps for a Class of Non-Laplacian Growth Phenomena
Dynamics of Conformal Maps for a Class of Non-Laplacian Growth Phenomena
Time-dependent conformal maps are used to model a class of growth phenomena limited by coupled non-Laplacian transport processes, such as nonlinear diffusion, advection, and electro-migration. Both continuous and stochastic dynamics are described by generalizing conformal-mapping techniques for viscous fingering and diffusion-limited aggregation, respectively. A general notion of time in stochastic …