We study the evolution of solid surfaces and pattern formation by
surface diffusion. Phase field models with degenerate mobilities are
frequently used to model such phenomena, and are validated by
investigating their sharp interface limits. We demonstrate by a careful
asymptotic analysis involving the matching of exponential terms that a
certain combination of degenerate mobility and a double well potential
leads to a combination of both surface and non-linear bulk diffusion to
leading order. If time permits, we will discuss implications and extensions.
We continue this term with our flagship seminars given by notable scientists on topics that are relevant to Industrial and Applied Mathematics.
Note the new time of 12:00-13:00 on Thursdays.
This will give an opportunity for the entire community to attend and for speakers with childcare responsibilities to present.