Prof. A. Münch (University of Oxford, GB)
Thursday, November 16, 2017 - 14:00
Weierstraß-Institut
Hausvogteiplatz 11A, 10117 Berlin, Raum: 4.01, 4. Etage
Seminar Materialmodellierung
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 surface and nonlinear bulk diffusion to leading order. We also present a stability analysis for the sharp interface model of an evolving non-homogeneous base state and show how to correctly determine the dominant mode, which is not the one predicted by a frozen mode eigenvalue analysis.
submitted by hohn (ina.hohn@wias-berlin.de, 030 20372591)